메뉴 건너뛰기




Volumn 476, Issue 3, 1996, Pages 559-610

The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

Author keywords

Anomalies; Field antifield formalism; Renormalization; W gravities

Indexed keywords


EID: 0030607075     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00313-6     Document Type: Article
Times cited : (16)

References (69)
  • 1
    • 84912848190 scopus 로고
    • An introduction to the renormalization of theories with continuous symmetries, to the chiral models and to their anomalies
    • Schladming, Austria, March 1990. Schladming School
    • [1] C. Becchi, An introduction to the renormalization of theories with continuous symmetries, to the chiral models and to their anomalies, Lectures given at the 29th Int. Universitätswochen für Kernphysik, 1990, Schladming, Austria, March 1990. Schladming School, 1990; pp. 31-52.
    • (1990) 29th Int. Universitätswochen für Kernphysik, 1990 , pp. 31-52
    • Becchi, C.1
  • 2
    • 0011542726 scopus 로고
    • [2] For an early review, using the BPHZ renormalization scheme also used in this paper, see O. Piguet and A. Rouet, Phys. Rep. 76 (1981) 1.
    • (1981) Phys. Rep. , vol.76 , pp. 1
    • Piguet, O.1    Rouet, A.2
  • 3
    • 33744741883 scopus 로고
    • [3] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; B 120 (1983) 166; Phys. Rev. D 28 (1983) 2567; D 30 (1984) 508 (E).
    • (1981) Phys. Lett. B , vol.102 , pp. 27
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 4
    • 33744741883 scopus 로고
    • [3] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; B 120 (1983) 166; Phys. Rev. D 28 (1983) 2567; D 30 (1984) 508 (E).
    • (1983) B , vol.120 , pp. 166
  • 5
    • 30244485015 scopus 로고
    • [3] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; B 120 (1983) 166; Phys. Rev. D 28 (1983) 2567; D 30 (1984) 508 (E).
    • (1983) Phys. Rev. D , vol.28 , pp. 2567
  • 6
    • 33744741883 scopus 로고
    • E
    • [3] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; B 120 (1983) 166; Phys. Rev. D 28 (1983) 2567; D 30 (1984) 508 (E).
    • (1984) D , vol.30 , pp. 508
  • 11
    • 33744720554 scopus 로고
    • [8] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47.
    • (1969) Phys. Rev. , vol.177 , pp. 2426
    • Adler, S.1
  • 12
    • 36049054757 scopus 로고
    • [8] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47.
    • (1969) Phys. Rev. , vol.184 , pp. 1848
    • Bardeen, W.A.1
  • 13
    • 51249188328 scopus 로고
    • [8] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47.
    • (1969) Nuovo Cimento A , vol.60 , pp. 47
    • Bell, J.S.1    Jackiw, R.2
  • 14
    • 0010077999 scopus 로고
    • BPHZ renormalization
    • eds. G. Velo and A.S. Wightman, Proceedings of the NATO ASI, Erice
    • [9] J.H. Löwenstein, BPHZ renormalization, in Renormalization Theory, eds. G. Velo and A.S. Wightman, Proceedings of the NATO ASI, Erice (1975).
    • (1975) Renormalization Theory
    • Löwenstein, J.H.1
  • 16
    • 0003338292 scopus 로고
    • Algebraic renormalization: Perturbative renormalization, symmetries and anomalies
    • Springer, Berlin
    • [11] O. Piguet and S.P. Sorella, Algebraic Renormalization: Perturbative Renormalization, Symmetries and Anomalies, Lecture Notes in Physics, Vol. 28 (Springer, Berlin, 1995).
    • (1995) Lecture Notes in Physics , vol.28
    • Piguet, O.1    Sorella, S.P.2
  • 18
  • 20
    • 44949289783 scopus 로고
    • [15] M. Henneaux, Nucl. Phys. B (Proc. Suppl.) 18A (1990) 47; M. Henneaux and C. Teitelboim, Quantisation of gauge systems (Princeton University Press, 1992).
    • (1990) Nucl. Phys. B (Proc. Suppl.) , vol.18 A , pp. 47
    • Henneaux, M.1
  • 22
    • 33750411572 scopus 로고
    • [16] C. Becchi, A. Rouet and R. Stora, Phys. Lett. B 52 (1974) 344; Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (N.Y.) 98 (1976) 287.
    • (1974) Phys. Lett. B , vol.52 , pp. 344
    • Becchi, C.1    Rouet, A.2    Stora, R.3
  • 23
    • 0039454412 scopus 로고
    • [16] C. Becchi, A. Rouet and R. Stora, Phys. Lett. B 52 (1974) 344; Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (N.Y.) 98 (1976) 287.
    • (1975) Commun. Math. Phys. , vol.42 , pp. 127
  • 24
    • 33750411572 scopus 로고
    • [16] C. Becchi, A. Rouet and R. Stora, Phys. Lett. B 52 (1974) 344; Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (N.Y.) 98 (1976) 287.
    • (1976) Ann. Phys. (N.Y.) , vol.98 , pp. 287
  • 26
    • 0002535350 scopus 로고
    • Trends in elementary particle theory
    • Int. Summer Inst. on Theor. Phys., Bonn 1974, eds. H. Rollnik and K. Dietz Springer, Berlin
    • [18] J. Zinn-Justin, inTrends in Elementary Particle Theory, Lecture notes in Physics 37, Int. Summer Inst. on Theor. Phys., Bonn 1974, eds. H. Rollnik and K. Dietz (Springer, Berlin, 1975); Nucl. Phys. B 246 (1984) 246; Quantum Field Theory and Critical Phenomena (Oxford University Press, 1989).
    • (1975) Lecture Notes in Physics , vol.37
    • Zinn-Justin, J.1
  • 27
    • 4243982273 scopus 로고
    • [18] J. Zinn-Justin, inTrends in Elementary Particle Theory, Lecture notes in Physics 37, Int. Summer Inst. on Theor. Phys., Bonn 1974, eds. H. Rollnik and K. Dietz (Springer, Berlin, 1975); Nucl. Phys. B 246 (1984) 246; Quantum Field Theory and Critical Phenomena (Oxford University Press, 1989).
    • (1984) Nucl. Phys. B , vol.246 , pp. 246
  • 28
    • 0003440273 scopus 로고
    • Oxford University Press
    • [18] J. Zinn-Justin, inTrends in Elementary Particle Theory, Lecture notes in Physics 37, Int. Summer Inst. on Theor. Phys., Bonn 1974, eds. H. Rollnik and K. Dietz (Springer, Berlin, 1975); Nucl. Phys. B 246 (1984) 246; Quantum Field Theory and Critical Phenomena (Oxford University Press, 1989).
    • (1989) Quantum Field Theory and Critical Phenomena
  • 37
    • 34248672956 scopus 로고
    • [27] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 25 (1982) 2584.
    • (1979) Phys. Rev. Lett. , vol.42 , pp. 1195
    • Fujikawa, K.1
  • 38
    • 4243648786 scopus 로고
    • [27] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 25 (1982) 2584.
    • (1980) Phys. Rev. D , vol.21 , pp. 2848
  • 39
    • 34248672956 scopus 로고
    • [27] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D 21 (1980) 2848; D 25 (1982) 2584.
    • (1982) D , vol.25 , pp. 2584
  • 42
    • 0000418925 scopus 로고
    • [30] C.P. Martin and F. Ruiz Ruiz, Nucl. Phys. B 436 (1995) 545; M. Asorey and F. Falceto, On the consistency of the Regularization of Gauge Theories by High Covariant Derivatives, preprint DFTUZ-95.3; hep-th/9502025; T.D. Bakeyev and A.A. Slavnov, Higher Covariant Derivative Regularization Revisited, preprint SMI-02-96; hep-th/9601092; P. Claus, Higher covariant derivative Pauli-Villars regularization for gauge theories in the Batalin-Vilkovisky formalism, Leuven preprint KUL-TF-96/1; hep-th/9601095.
    • (1995) Nucl. Phys. B , vol.436 , pp. 545
    • Martin, C.P.1    Ruiz Ruiz, F.2
  • 43
    • 0011612135 scopus 로고    scopus 로고
    • preprint DFTUZ-95.3; hep-th/9502025
    • [30] C.P. Martin and F. Ruiz Ruiz, Nucl. Phys. B 436 (1995) 545; M. Asorey and F. Falceto, On the consistency of the Regularization of Gauge Theories by High Covariant Derivatives, preprint DFTUZ-95.3; hep-th/9502025; T.D. Bakeyev and A.A. Slavnov, Higher Covariant Derivative Regularization Revisited, preprint SMI-02-96; hep-th/9601092; P. Claus, Higher covariant derivative Pauli-Villars regularization for gauge theories in the Batalin-Vilkovisky formalism, Leuven preprint KUL-TF-96/1; hep-th/9601095.
    • On the Consistency of the Regularization of Gauge Theories by High Covariant Derivatives
    • Asorey, M.1    Falceto, F.2
  • 44
    • 0011665789 scopus 로고    scopus 로고
    • preprint SMI-02-96; hep-th/9601092
    • [30] C.P. Martin and F. Ruiz Ruiz, Nucl. Phys. B 436 (1995) 545; M. Asorey and F. Falceto, On the consistency of the Regularization of Gauge Theories by High Covariant Derivatives, preprint DFTUZ-95.3; hep-th/9502025; T.D. Bakeyev and A.A. Slavnov, Higher Covariant Derivative Regularization Revisited, preprint SMI-02-96; hep-th/9601092; P. Claus, Higher covariant derivative Pauli-Villars regularization for gauge theories in the Batalin-Vilkovisky formalism, Leuven preprint KUL-TF-96/1; hep-th/9601095.
    • Higher Covariant Derivative Regularization Revisited
    • Bakeyev, T.D.1    Slavnov, A.A.2
  • 45
    • 0011549271 scopus 로고    scopus 로고
    • Leuven preprint KUL-TF-96/1; hep-th/9601095
    • [30] C.P. Martin and F. Ruiz Ruiz, Nucl. Phys. B 436 (1995) 545; M. Asorey and F. Falceto, On the consistency of the Regularization of Gauge Theories by High Covariant Derivatives, preprint DFTUZ-95.3; hep-th/9502025; T.D. Bakeyev and A.A. Slavnov, Higher Covariant Derivative Regularization Revisited, preprint SMI-02-96; hep-th/9601092; P. Claus, Higher covariant derivative Pauli-Villars regularization for gauge theories in the Batalin-Vilkovisky formalism, Leuven preprint KUL-TF-96/1; hep-th/9601095.
    • Higher Covariant Derivative Pauli-Villars Regularization for Gauge Theories in the Batalin-Vilkovisky Formalism
    • Claus, P.1
  • 47
    • 0001879239 scopus 로고
    • [31] D. Evens, J.W. Moffat, G. Kleppe and R.P. Woodard, Phys. Rev. D 43 (1991) 499; G. Kleppe and R.P. Woodard, Nucl. Phys. B 388 (1992) 81; Ann. Phys. (N.Y.) 221 (1993) 106.
    • (1992) Nucl. Phys. B , vol.388 , pp. 81
    • Kleppe, G.1    Woodard, R.P.2
  • 48
    • 0000275593 scopus 로고
    • [31] D. Evens, J.W. Moffat, G. Kleppe and R.P. Woodard, Phys. Rev. D 43 (1991) 499; G. Kleppe and R.P. Woodard, Nucl. Phys. B 388 (1992) 81; Ann. Phys. (N.Y.) 221 (1993) 106.
    • (1993) Ann. Phys. (N.Y.) , vol.221 , pp. 106
  • 51
    • 0141562414 scopus 로고
    • [33] N.N. Bogoliubov and D.W. Shirkov, Introduction to the Theory of Quantized Fields (Interscience Publ., New York, 1959); N.N. Bogoliubov and O. Parasiuk, Acta Math. 97 (1957) 227; K. Hepp, Commun. Math. Phys. 2 (1966) 301.
    • (1957) Acta Math. , vol.97 , pp. 227
    • Bogoliubov, N.N.1    Parasiuk, O.2
  • 52
    • 0001466639 scopus 로고
    • [33] N.N. Bogoliubov and D.W. Shirkov, Introduction to the Theory of Quantized Fields (Interscience Publ., New York, 1959); N.N. Bogoliubov and O. Parasiuk, Acta Math. 97 (1957) 227; K. Hepp, Commun. Math. Phys. 2 (1966) 301.
    • (1966) Commun. Math. Phys. , vol.2 , pp. 301
    • Hepp, K.1
  • 53
    • 0001447372 scopus 로고
    • [34] W. Zimmerman, Commun. Math. Phys. 15 (1969) 208; Ann. Phys. (N.Y.) 77 (1973) 570. For a pedagogical account, which can be viewed as prerequisite knowledge for [9], see W. Zimmerman, in Lectures on Elementary Particles and Quantum Field Theory, eds. S. Deser, M. Grisaru and H. Pendleton, MIT Press, Brandeis Lectures 1970. A more modern account, set in the BRS language and also including the necessary information on generating functionals used in Section 4, is [11].
    • (1969) Commun. Math. Phys. , vol.15 , pp. 208
    • Zimmerman, W.1
  • 54
    • 0001447372 scopus 로고
    • [34] W. Zimmerman, Commun. Math. Phys. 15 (1969) 208; Ann. Phys. (N.Y.) 77 (1973) 570. For a pedagogical account, which can be viewed as prerequisite knowledge for [9], see W. Zimmerman, in Lectures on Elementary Particles and Quantum Field Theory, eds. S. Deser, M. Grisaru and H. Pendleton, MIT Press, Brandeis Lectures 1970. A more modern account, set in the BRS language and also including the necessary information on generating functionals used in Section 4, is [11].
    • (1973) Ann. Phys. (N.Y.) , vol.77 , pp. 570
  • 55
    • 0001447372 scopus 로고
    • eds. S. Deser, M. Grisaru and H. Pendleton, MIT Press, Brandeis Lectures A more modern account, set in the BRS language and also including the necessary information on generating functionals used in Section 4, is [11]
    • [34] W. Zimmerman, Commun. Math. Phys. 15 (1969) 208; Ann. Phys. (N.Y.) 77 (1973) 570. For a pedagogical account, which can be viewed as prerequisite knowledge for [9], see W. Zimmerman, in Lectures on Elementary Particles and Quantum Field Theory, eds. S. Deser, M. Grisaru and H. Pendleton, MIT Press, Brandeis Lectures 1970. A more modern account, set in the BRS language and also including the necessary information on generating functionals used in Section 4, is [11].
    • (1970) Lectures on Elementary Particles and Quantum Field Theory
    • Zimmerman, W.1
  • 58
    • 0011610760 scopus 로고
    • [36] F. De Jonghe, R. Siebelink en W. Troost, Phys. Lett. B 288 (1992) 47; B 306 (1993) 295.
    • (1993) B , vol.306 , pp. 295
  • 63
    • 4243427045 scopus 로고    scopus 로고
    • [40] K. Schoutens, A. Sevrin and P. van Nieuwenhuizen, Nucl. Phys. B 364 (1991) 584; in Proc. of the January 1991 Miami workshop on Quantum Field Theory, Statistical Mechanics, Quantum Groups and Topology.
    • (1991) Nucl. Phys. B , vol.364 , pp. 584
    • Schoutens, K.1    Sevrin, A.2    Van Nieuwenhuizen, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.