Higher-loop anomalies and their consistency conditions in non-local regularization

Nuclear Physics B

Volumn 482, Issue 1-2, 1996, Pages 373-402

  París, Jordi ^a   Troost, Walter ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Anomalies: Higher loops, consistency conditions; Field antifield formalism; Non local regularisation; Quantisation of gauge theories

Indexed keywords

EID: 0030599622     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00570-6     Document Type: Article

References (42)

1. [1] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cim. 60A (1969) 47.
2. [1] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cim. 60A (1969) 47.
3. [1] S. Adler, Phys. Rev. 177 (1969) 2426; W.A. Bardeen, Phys. Rev. 184 (1969) 1848; J.S. Bell and R. Jackiw, Nuovo Cim. 60A (1969) 47.
4. [2] C. Becchi, A. Rouet and R. Stora, Ann. Phys. (N.Y.) 98 (1976) 287.
5. [3] O. Piguet and S.P. Sorella, Algebraic Renormalization: Perturbative Renormalization, Symmetries and Anomalies, Lecture Notes in Physics vol. 28 (Springer, Berlin, 1995).
6. [4] J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95.
7. [5] I.V. Tyutin, Lebedev preprint 39 (1975), unpublished.
8. [6] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; Phys. Rev. D 28 (1983) 2567; Phys. Rev. D 30 (1984) 508(E).
9. [6] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; Phys. Rev. D 28 (1983) 2567; Phys. Rev. D 30 (1984) 508(E).
10. [6] I.A. Batalin and G.A. Vilkovisky, Phys. Lett. B 102 (1981) 27; Phys. Rev. D 28 (1983) 2567; Phys. Rev. D 30 (1984) 508(E).
11. [7] M. Henneaux and C. Teitelboim, Quantization of gauge systems (Princeton University Press, Princeton, 1992).
12. [8] J. Gomis, J. París and S. Samuel, Phys. Rep. 259 (1995) 1.
13. [9] W. Troost and A. Van Proeyen, An introduction to Batalin-Vilkovisky Lagrangian quantization, Leuven Notes in Math. Theor. Phys., in preparation.
14. [10] J. Zinn-Justin, Trends in Elementary Particle Theory, ed. H. Rollnik and K. Dietz, Lecture Notes in Physics, Vol 37 (Springer, Berlin, 1975).
15. [11] F. De Jonghe, J. París and W. Troost, The BPHZ renormalised BV master equation and Two-loop Anomalies in Chiral Gravities, K.U. Leuven preprint KUL-TF-96/4; to be published in Nucl. Phys. B.
16. [12] D. Anselmi, Class. Quant. Grav. 11 (1994) 2181.
17. [13] P.M. Lavrov and I.V. Tyutin, Sov. J. Nucl. Phys. 41 (1985) 1049; J.M. L. Fisch, On the Batalin-Vilkovisky Antibracket-Antifield BRST Formalism and Its Applications, Univ. Libre de Bruxelles preprint ULB-TH2-90-01 (Jan., 1990); M. Henneaux, Lectures on the Antifield-BRST Formalism for Gauge Theories, Nucl. Phys. B (Proc. Suppl.) 18 A (1990) 47.
18. [13] P.M. Lavrov and I.V. Tyutin, Sov. J. Nucl. Phys. 41 (1985) 1049; J.M. L. Fisch, On the Batalin-Vilkovisky Antibracket-Antifield BRST Formalism and Its Applications, Univ. Libre de Bruxelles preprint ULB-TH2-90-01 (Jan., 1990); M. Henneaux, Lectures on the Antifield-BRST Formalism for Gauge Theories, Nucl. Phys. B (Proc. Suppl.) 18 A (1990) 47.
19. [13] P.M. Lavrov and I.V. Tyutin, Sov. J. Nucl. Phys. 41 (1985) 1049; J.M. L. Fisch, On the Batalin-Vilkovisky Antibracket-Antifield BRST Formalism and Its Applications, Univ. Libre de Bruxelles preprint ULB-TH2-90-01 (Jan., 1990); M. Henneaux, Lectures on the Antifield-BRST Formalism for Gauge Theories, Nucl. Phys. B (Proc. Suppl.) 18 A (1990) 47.
20. [14] W. Troost, P. van Nieuwenhuizen and A. Van Proeyen, Nucl. Phys. B 333 (1990) 727.
21. [15] P.S. Howe, U. Lindström and P. White, Phys. Lett. B 246 (1990) 430.
22. [16] P.L. White, Phys. Lett. B 284 (1992) 55.
23. 3 Gravity Anomalies, Marseille preprint CPT-95/P.3237, hep-th/9509044, to appear in the Proceedings W-Algebras: Extended Conformal Symmetries, ed. R. Grimm, V. Ovsienko.
24. [18] F. de Jonghe, The Batalin-Vilkovisky Lagrangian quantisation scheme with applications to the study of anomalies in gauge theories, PhD thesis, K.U. Leuven; hep-th/9403143.
25. [19] 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.
26. [19] 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.
27. [19] 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.
28. [20] J. París, Nucl. Phys. B 450 (1995) 357.
29. [21] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, International series of monographs on Physics 77 (Oxford Univ. Press, Oxford, 1989).
30. [22] The Heritage Illustrated Dictionary of the English Language, ed. W. Morris (American Heritage Publishing Co., Inc., New York, 1973).
31. [23] J.-L. Gervais and A. Jevicki, Nucl. Phys. B 110 (1976) 93.
32. [24] B.S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
33. [25] S. Vandoren and A. Van Proeyen, Nucl. Phys. B 411 (1994) 257.
34. [26] C.M. Hull, Phys. Lett. B 240 (1990) 110.
35. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
36. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
37. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
38. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
39. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
40. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
41. [27] Y. Matsuo, Phys. Lett. B 227 ( 1989) 222; in Proc. of the meeting Geometry and Physics, Lake Tahoe, July 1989; CM. Hull, Phys. Lett. B 265 (1991) 347; 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; C.N. Pope, L.J. Romans and K.S. Stelle, Phys. Lett. B 268 (1991) 167; C.M. Hull, Int. J. Mod. Phys. A 8 (1993) 2419.
42. [28] R. Mohayaee and L. Wenham, Nucl. Phys. B 454 (1995) 207.