메뉴 건너뛰기




Volumn 459, Issue 3, 1996, Pages 631-692

Loop calculations in quantum mechanical non-linear sigma models with fermions and applications to anomalies

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030597557     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(95)00593-5     Document Type: Article
Times cited : (76)

References (85)
  • 2
    • 0000025602 scopus 로고    scopus 로고
    • [1] J. de Boer, B. Peeters, K. Skenderis and P. van Nieuwenhuizen, hep-th/9504097; Nucl. Phys. B 446 (1995) 211.
    • (1995) Nucl. Phys. B , vol.446 , pp. 211
  • 3
    • 0010190678 scopus 로고
    • [2] L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B 234 (1989) 269; L. Alvarez-Gaumé, in Supersymmetry, eds. K. Dietz et al. (Plenum Press, 1984).
    • (1989) Nucl. Phys. B , vol.234 , pp. 269
    • Alvarez-Gaumé, L.1    Witten, E.2
  • 4
    • 0011685961 scopus 로고
    • eds. K. Dietz et al. Plenum Press
    • [2] L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B 234 (1989) 269; L. Alvarez-Gaumé, in Supersymmetry, eds. K. Dietz et al. (Plenum Press, 1984).
    • (1984) Supersymmetry
    • Alvarez-Gaumé, L.1
  • 5
    • 0004171988 scopus 로고    scopus 로고
    • (Cambridge University Press, 1992); Sections (6.5), (6.6) give a non-lattice derivation. To deal with difficulties due to products of momentum operators at different times, DeWitt proposes to use quasi-Cartesian frames (his Eq. (6.5.15))
    • [3] B. DeWitt, Supermanifolds, 2nd Ed. (Cambridge University Press, 1992); Sections (6.5), (6.6) give a non-lattice derivation. To deal with difficulties due to products of momentum operators at different times, DeWitt proposes to use quasi-Cartesian frames (his Eq. (6.5.15)).
    • Supermanifolds, 2nd Ed.
    • DeWitt, B.1
  • 7
    • 36149012980 scopus 로고    scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1950) Phys. Rev. , vol.80 , pp. 440
    • Feynman, R.P.1
  • 8
    • 36149017199 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1951) Phys. Rev. , vol.84 , pp. 108
  • 9
    • 0347162275 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1951) Phys. Rev. , vol.82 , pp. 664
    • Schwinger, J.1
  • 10
    • 51249189930 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1974) Nouvo Cimento , vol.24 A , pp. 249
    • Casalbuoni, R.1    Gomis, J.2    Longhi, G.3
  • 11
    • 51249187461 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1976) Nuovo Cimento , vol.33 A , pp. 389
    • Casalbuoni, R.1
  • 12
    • 0002028852 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1977) Nucl. Phys. B , vol.118 , pp. 76
    • Brink, L.1    DiVecchia, P.2    Howe, P.3
  • 13
    • 0000118793 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1977) Phys. Rev. D , vol.15 , pp. 2308
    • Balachandran, A.P.1    Salomson, P.2    Skagerstam, B.3    Winnberg, J.4
  • 14
    • 0002248881 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1977) Nucl. Phys. B , vol.124 , pp. 93
    • Casalbuoni, R.1
  • 15
    • 30244512109 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1977) Phys. Rev. D , vol.16 , pp. 2476
    • Halpern, M.B.1    Senjanovic, P.2    Jevicki, A.3
  • 16
    • 0001747550 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1977) Phys. Rev. D , vol.16 , pp. 2486
    • Halpern, M.B.1    Siegel, W.2
  • 17
    • 36149012980 scopus 로고    scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1981) Nuovo Cimento , vol.64 B , pp. 287
    • Casalbuoni, R.1
  • 18
    • 36149012980 scopus 로고    scopus 로고
    • Harwood Academic Pub.
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1987) Gauge Fields and Strings
    • Polyakov, A.M.1
  • 19
    • 0001093439 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1988) Phys. Rev. D , vol.38 , pp. 1888
    • Bern, Z.1    Kosower, D.A.2
  • 20
    • 4244120834 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 1669
  • 21
    • 0011671639 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1992) Nucl. Phys. B , vol.379 , pp. 451
  • 22
    • 0001567065 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1992) Nucl. Phys. B , vol.385 , pp. 145
    • Strassler, M.J.1
  • 23
    • 36149012980 scopus 로고    scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1993) Ann. Phys. (NY) , vol.224 , pp. 154
    • McKeon, D.G.C.1
  • 24
    • 0000419528 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1994) Phys. Lett. B , vol.318 , pp. 438
    • Schmidt, M.G.1    Schubert, C.2
  • 25
    • 36149012980 scopus 로고    scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1994) Phys. Lett. B , vol.331 , pp. 69
  • 26
    • 0000430826 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1995) Phys. Lett. B , vol.351 , pp. 200
    • Mondragón, M.1    Nellen, L.2    Schmidt, M.G.3    Schubert, C.4
  • 27
    • 36149012980 scopus 로고    scopus 로고
    • UCLA/95/TEP/22, hep-th/9508131
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
    • D'Hoker, E.1    Gagne, D.2
  • 28
    • 0000199392 scopus 로고
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • (1995) Z. Phys. C , vol.66 , pp. 303
    • Van Holten, J.W.1
  • 29
    • 36149012980 scopus 로고    scopus 로고
    • NIKHEF-H/95-050, hep-th/9508136
    • [5] R.P. Feynman, Phys. Rev. 80 (1950) 440; 84 (1951) 108; J. Schwinger, Phys. Rev. 82 (1951) 664; R. Casalbuoni, J. Gomis and G. Longhi, Nouvo Cimento 24A (1974) 249; R. Casalbuoni, Nuovo Cimento 33A (1976) 389; L. Brink, P. DiVecchia and P. Howe, Nucl. Phys. B 118 (1977) 76; A.P. Balachandran, P. Salomson, B. Skagerstam and J. Winnberg, Phys. Rev. D 15 (1977) 2308; R. Casalbuoni, Nucl. Phys. B 124 (1977) 93; M.B. Halpern, P. Senjanovic and A. Jevicki, Phys. Rev. D 16 (1977) 2476; M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486; R. Casalbuoni, Nuovo Cimento 64B (1981) 287; A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Pub., 1987); Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888; Phys. Rev. Lett. 66 (1991) 1669; Nucl. Phys. B 379 (1992) 451; M.J. Strassler, Nucl. Phys. B 385 (1992) 145; D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 154; M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1994) 438; B 331 (1994) 69; M. Mondragón, L. Nellen, M.G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200; E. D'Hoker and D. Gagne, Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings, UCLA/95/TEP/22, hep-th/9508131; J.W. van Holten, Z. Phys. C 66 (1995) 303; Propagators and path integrals, NIKHEF-H/95-050, hep-th/9508136.
    • Propagators and Path Integrals
  • 31
    • 34547361024 scopus 로고
    • [7] R. Feynman, Rev. Mod. Phys. 20 (1948) 367; Phys. Rev. 80 (1950) 440.
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367
    • Feynman, R.1
  • 32
    • 36149012980 scopus 로고    scopus 로고
    • [7] R. Feynman, Rev. Mod. Phys. 20 (1948) 367; Phys. Rev. 80 (1950) 440.
    • (1950) Phys. Rev. , vol.80 , pp. 440
  • 34
    • 0042582432 scopus 로고
    • eds. C. DeWitt and B. DeWitt, Les Houches
    • [9] B. DeWitt, in: Relativity, Groups and Topology, eds. C. DeWitt and B. DeWitt, Les Houches 1963; Phys. Rep. 19 (1975) 295.
    • (1963) Relativity, Groups and Topology
    • DeWitt, B.1
  • 35
    • 0042582432 scopus 로고
    • [9] B. DeWitt, in: Relativity, Groups and Topology, eds. C. DeWitt and B. DeWitt, Les Houches 1963; Phys. Rep. 19 (1975) 295.
    • (1975) Phys. Rep. , vol.19 , pp. 295
  • 36
    • 0000614834 scopus 로고
    • [10] F. Bastianelli, Nucl. Phys. B 376 (1992) 113; F. Bastianelli and P. van Nieuwenhuizen, Nucl. Phys. B 389 (1993) 53.
    • (1992) Nucl. Phys. B , vol.376 , pp. 113
    • Bastianelli, F.1
  • 38
    • 0000889315 scopus 로고
    • [11] T.D. Lee and C.N. Yang, Phys. Rev. 128 (1962) 885; see also E.S. Abers and B.W. Lee, Phys. Rep. C 9 (1973) 67, Eq. (11.23).
    • (1962) Phys. Rev. , vol.128 , pp. 885
    • Lee, T.D.1    Yang, C.N.2
  • 39
    • 0000889315 scopus 로고
    • Eq. (11.23)
    • [11] T.D. Lee and C.N. Yang, Phys. Rev. 128 (1962) 885; see also E.S. Abers and B.W. Lee, Phys. Rep. C 9 (1973) 67, Eq. (11.23).
    • (1973) Phys. Rep. C , vol.9 , pp. 67
    • Abers, E.S.1    Lee, B.W.2
  • 42
    • 36149005338 scopus 로고
    • [14] J. Schwinger, Phys. Rev. 127 (1962) 324; 130 (1963) 406.
    • (1962) Phys. Rev. , vol.127 , pp. 324
    • Schwinger, J.1
  • 43
    • 0000580216 scopus 로고
    • [14] J. Schwinger, Phys. Rev. 127 (1962) 324; 130 (1963) 406.
    • (1963) Phys. Rev. , vol.130 , pp. 406
  • 44
    • 0002291086 scopus 로고
    • [15] J.-L. Gervais and A. Jevicki, Nucl. Phys. 110 (1976) 93; see also S.F. Edwards and Y.V. Guluaev, Proc. Roy. Soc. London A 279 (1964) 269; D.W. Laughlin and L.S. Schulman, J. Math. Phys. 12 (1971) 2520.
    • (1976) Nucl. Phys. , vol.110 , pp. 93
    • Gervais, J.-L.1    Jevicki, A.2
  • 45
    • 0002291086 scopus 로고
    • [15] J.-L. Gervais and A. Jevicki, Nucl. Phys. 110 (1976) 93; see also S.F. Edwards and Y.V. Guluaev, Proc. Roy. Soc. London A 279 (1964) 269; D.W. Laughlin and L.S. Schulman, J. Math. Phys. 12 (1971) 2520.
    • (1964) Proc. Roy. Soc. London A , vol.279 , pp. 269
    • Edwards, S.F.1    Guluaev, Y.V.2
  • 46
    • 0037916750 scopus 로고
    • [15] J.-L. Gervais and A. Jevicki, Nucl. Phys. 110 (1976) 93; see also S.F. Edwards and Y.V. Guluaev, Proc. Roy. Soc. London A 279 (1964) 269; D.W. Laughlin and L.S. Schulman, J. Math. Phys. 12 (1971) 2520.
    • (1971) J. Math. Phys. , vol.12 , pp. 2520
    • Laughlin, D.W.1    Schulman, L.S.2
  • 48
    • 0011685963 scopus 로고
    • [17] P.T. Matthews, Phys. Rev. 76 (1949) 686; Y. Nambu, Progr. Theor. Phys. 7 (1952) 131.
    • (1949) Phys. Rev. , vol.76 , pp. 686
    • Matthews, P.T.1
  • 49
    • 0000827380 scopus 로고
    • [17] P.T. Matthews, Phys. Rev. 76 (1949) 686; Y. Nambu, Progr. Theor. Phys. 7 (1952) 131.
    • (1952) Progr. Theor. Phys. , vol.7 , pp. 131
    • Nambu, Y.1
  • 50
    • 34248672956 scopus 로고
    • [18] Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 22 (1980) 1499; Phys. Rev. Lett. 44 (1989) 1733.
    • (1979) Phys. Rev. Lett. , vol.42 , pp. 1195
    • Fujikawa1
  • 51
    • 4243648786 scopus 로고
    • [18] Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 22 (1980) 1499; Phys. Rev. Lett. 44 (1989) 1733.
    • (1980) Phys. Rev. D , vol.21 , pp. 2848
  • 52
    • 33744577255 scopus 로고
    • [18] Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 22 (1980) 1499; Phys. Rev. Lett. 44 (1989) 1733.
    • (1980) Phys. Rev. D , vol.22 , pp. 1499
  • 53
    • 34248672956 scopus 로고
    • [18] Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 22 (1980) 1499; Phys. Rev. Lett. 44 (1989) 1733.
    • (1989) Phys. Rev. Lett. , vol.44 , pp. 1733
  • 56
    • 84968504706 scopus 로고
    • [20] J.F. Colombeau, Bull. A.M.S. 23 (1990) 251, and J.F. Colombeau, Multiplication of distributions, Lecture Notes in Mathematics 1532, Springer-Verlag.
    • (1990) Bull. A.M.S. , vol.23 , pp. 251
    • Colombeau, J.F.1
  • 57
    • 0004056732 scopus 로고    scopus 로고
    • Multiplication of distributions
    • Springer-Verlag
    • [20] J.F. Colombeau, Bull. A.M.S. 23 (1990) 251, and J.F. Colombeau, Multiplication of distributions, Lecture Notes in Mathematics 1532, Springer-Verlag.
    • Lecture Notes in Mathematics , pp. 1532
    • Colombeau, J.F.1
  • 65
    • 0000538338 scopus 로고
    • [27] J. Van Vleck, Proc. Natl. Acad. Sci. 24 (1928) 178; C. Morette, Phys. Rev. 81 (1951) 848.
    • (1951) Phys. Rev. , vol.81 , pp. 848
    • Morette, C.1
  • 73
  • 77
    • 0011555941 scopus 로고
    • [38] V. de Alfaro, S. Fubini, G. Furlan and M. Roncadelli, Nucl. Phys. B 296 (1988) 402, Phys. Lett. B 200 (1988) 323; V. de Alfaro and M. Gavazzi, Nucl. Phys. B 335 (1990) 655.
    • (1988) Phys. Lett. B , vol.200 , pp. 323
  • 78
    • 0011559399 scopus 로고
    • [38] V. de Alfaro, S. Fubini, G. Furlan and M. Roncadelli, Nucl. Phys. B 296 (1988) 402, Phys. Lett. B 200 (1988) 323; V. de Alfaro and M. Gavazzi, Nucl. Phys. B 335 (1990) 655.
    • (1990) Nucl. Phys. B , vol.335 , pp. 655
    • De Alfaro, V.1    Gavazzi, M.2
  • 84
    • 0000963340 scopus 로고
    • this paper obtains the Dirac action for spin-3/2 fields
    • [44] R. Endo and M. Takao, Phys. Lett. B 161 (1985) 155 (this paper obtains the Dirac action for spin-3/2 fields).
    • (1985) Phys. Lett. B , vol.161 , pp. 155
    • Endo, R.1    Takao, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.