A new approach to axial vector model calculations II

Journal of High Energy Physics

Volumn 3, Issue 3, 1999, Pages

  Dilkes, Fred A ^a   McKeon, Dennis G G ^b   Schubert, Christian ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b LAPTH   (France)

Author keywords

Anomalies in field and string theories; Field theories in lower dimensions

Indexed keywords

EID: 33646066857     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/1999/03/022     Document Type: Article

References (75)

1. R.P. Feynman, Rev. Mod. Phys. 20 (1948) 367.
2. H.M. Fried, Functional Methods and Models in QFT, MIT Press, 1972.
3. A. Barducci, F. Bordi and R. Casalbuoni, Nuovo Cim. B64 (1981) 287.
4. L. Avarez-Gaumé and E. Witten, Nucl. Phys. B 234 (1983) 239;
5. L. Alvarez-Gaumé, Comm. Math. Phys. 90 (1983) 161.
6. D. Friedan and P. Windey, Nucl. Phys. B 235 (1984) 395.
7. F. Bastianelli and P. van Nieuwenhuizen, Nucl. Phys. B 389 (1993) 53 [hep-th/9208059].
8. R. Rosenfelder and A.W. Schreiber, Phys. Rev. D 53 (1996) 3337 [micl-th/9504002].
9. M.B. Halpern and W. Siegel, Phys. Rev. D 16 (1977) 2486;
10. B. Halpern, A. Jevicki and P. Senjanovic, Phys. Rev. D 16 (1977) 2476.
11. A.I. Karanikas, C.N. Ktorides, N.G. Stefanie and S.M.H. Wong, Off-mass-shell Sudakov suppression factor for the fermionic four-point function in QCD, UA-NPPS-1698, hep-ph/9812335.
12. Z. Bern and D.A. Kosower, Phys. Rev. D 38 (1988) 1888;
13. Nucl. Phys. B 379 (1992) 451.
14. Z. Bern, L. Dixon and D.A. Kosower, Phys. Rev. Lett. 70 (1993) 2677 [hep-ph/9302280].
15. Z. Bern, D.C. Dunbar and T. Shimada, Phys. Lett. B 312 (1993) 277 [hep-th/9307001];
16. D.C. Dunbar and P.S. Norridge, Nucl. Phys. B 433 (1995) 181 [hep-th/9408014].
17. M.J. Strassler, Nucl. Phys. B 385 (1992) 145 [hep-ph/9205205].
18. A.M. Polyakov, Gauge Fields and Strings, Haarwood, 1987.
19. M. G. Schmidt and C. Schubert, Phys. Lett. B 331 (1994) 69 [hep-th/9403158].
20. M.G. Schmidt and C. Schubert, Phys. Rev. D 53 (1996) 2150 [hep-th/9410100.
21. K. Daikouji, M. Shino and Y. Sumino, Phys. Rev. D 53 (1996) 4598 [hep-ph/9508377].
22. H.-T. Sato, Nucl. Phys. B 491 (1997) 477 [hep-th/9610064].
23. R. Shaisultanov, Phys. Lett. B 378 (1996) 354 [hep-th/9512142].
24. K. Roland and H.-T. Sato, Nucl. Phys. B 480 (1996) 99 [hep-th/9604152].
25. H.-T. Sato, Integral representations of thermodynamic 1PI Green function in the world-line formalism, HD-THEP-98-41, hep-th/9809053.
26. M. Reuter, M.G. Schmidt and C. Schubert, Ann. Phys. (NY) 259 (1997) 313 [hep-th/9610191].
27. S. L. Adler and C. Schubert, Phys. Rev. Lett. 77 (1996) 1695 [hep-th/9605035].
28. D. Cangemi, E. D'Hoker and G. Dunne, Phys. Rev. D 51 (1995) 2513 [hep-th/9409113].
29. V.P. Gusynin and I.A. Shovkovy, Derivative expansion for the effective action for QED in 2+1 and 3+1 dimensions, UCTP-106-98, hep-th/9804143.
30. C. Schubert, On the calculation of QED amplitudes in a costant field, LAPTH-687-98, hep-ph/9807288.
31. D.G.C. McKeon, Ann. Phys. (NY) 224 (1993) 139.
32. D.G.C. McKeon and A. Rebhan, Phys. Rev. D 48 (1993) 2891.
33. F.A. Dilkes and D.G.C. McKeon, Phys. Rev. D 53 (1996) 4388 [hep-th/9509005].
34. D.G.C. McKeon and C. Wong, J. Math. Phys. 36 (1995) 1691;
35. D. Fliegner, P. Haberl, M. G. Schmidt and C. Schubert, Ann. Phys. (NY) 264 (1998) 51 [hep-th/9707189].
36. M. Mondragón, L. Neuen, M. G. Schmidt and C. Schubert, Phys. Lett. B 351 (1995) 200 [hep-th/9502125];
37. Phys. Lett. B 366 (1996) 212 [hep-th/9510036].
38. E. D'Hoker and D.G. Gagné, Nucl. Phys. B 467 (1996) 272 [hep-th/9508131];
39. Nucl. Phys. B 467 (1996) 297 [hep-th/9512080].
40. D.G.C. McKeon and C. Schubert, Phys. Lett. B 440 (1998) 101 [hep-th/9807072].
41. D.G.C. McKeon and T.N. Sherry, Ann. Phys. (NY) 218 (1992) 325.
42. G. Cognola and P. Giacconi, Phys. Rev. D 39 (1989) 2987;
43. G. Cognola, P. Giacconi and R. Soldati, J. Math. Phys. 31 (1990) 2699.
44. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.
45. Y. Ohnuki and T. Kashiwa, Prog. Theor. Phys. 60 (1978) 548.
46. E.S. Fradkin and D.M. Gitman, Phys. Rev. D 44 (1991) 3230.
47. D.G.C. McKeon and A. Rebhan, Phys. Rev. D 48 (1993) 3891 [hep-th/9302072].
48. A.I. Vainshtein, V.I. Zakharov, V.A. Novikov and M.A. Shifman, Sov. Phys. Usp. 25 (1982) 4;
49. G. 't Hooft, Phys. Rev. D 14 (1976) 3432, erratum ibid. D18 (1978) 2199.
50. F.A. Berezin and M.S. Marinov, Ann. Phys. (NY) 104 (1977) 336.
51. D.M. Gitman, S.I. Zlatev, and P.B. Barros, J. Phys. A 31 (1998) 7791.
52. A.N. Vasiliev, Functional Methods in Quantum Field Theory and Statistical Physics, St. Petersburg University Press, St. Petersburg, 1976.
53. J. Polchinski, String Theory, vol. 1, Cambridge University Press, Cambridge, 1998.
54. A.M. Polyakov, Mod. Phys. Lett. A 3 (1988) 325.
55. S.L. Adler, Phys. Rev. 177 (1969) 2426;
56. J. Bell and R. Jackiw, Nuovo Cim. 60A (1969) 47.
57. D.G.C. McKeon and T.N. Sherry, Phys. Rev. Lett. 59 (1987) 532.
58. D.M. Gitman and Sh. M. Shvartsman, Phys. Lett. B 318 (1993) 122,
59. erratum ibid. 331 (1994) 449 [hep-th/9310142].
60. Z. Bern and D.C. Dunbar, Nucl. Phys. B 379 (1992) 562.
61. R.P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958) 193.
62. L.C. Hostler, J. Math. Phys. 26 (1985) 1348.
63. A.G. Morgan, Phys. Lett. B 351 (1995) 249 [hep-ph/9502230].
64. C. Schubert, Eur. Phys. J. C 5 (1998) 693 [hep-th/9710067].
65. M. Chanowitz, M. Furman and I. Hinchliffe, Nucl. Phys. B 159 (1979) 225.
66. G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189.
67. P. Breitenlohner and D. Maison, Comm. Math. Phys. 52 (1976) 11.
68. G. Bonneau, Int. J. Mod. Phys. A 5 (1990) 3831.
69. C. Schubert, Nucl. Phys. B 323 (1989) 478.
70. T.L. Trueman, Z. Physik C 69 (1996) 525 [hep-ph/9504315].
71. A.N. loannisian and C. Schubert, in preparation.
72. R. Jackiw and A. Kostelecky, Radiatively induced Lorents and CPT violation in elec trodynamics, IUHET 400, MIT-CTP 2812, hep-ph/9901358.
73. E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B 163 (1985) 123.
74. G. Thompson, Trieste HEP Cosmology 1995, hep-th/9511038.
75. M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1993) 438 [hep-th/9309055].