An approach to the equivalence theorem by the Slavnov-Taylor identities

Journal of High Energy Physics

Volumn 6, Issue 4, 2002, Pages 809-838

  Ferrari, Ruggero ^a   Picariello, Marco ^a   Quadri, Andrea ^a  

^a NONE

Author keywords

BRST Quantization; BRST Symmetry; Renormalization Regularization and Renormalons

Indexed keywords

EID: 23044510363     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/04/033     Document Type: Article

References (35)

1. F. J. Dyson, The interactions of nucleons with meson fields, Phys. Rev. 73 (1948) 929.
2. K.M. Case, On nucleon moments and the neutron-electron interaction, Phys. Rev. 76 (1949) 1.
3. K.M. Case, Equivalence theorems for meson-nucleon couplings, Phys. Rev. 76 (1949) 14.
4. L.L. Foldy, New aspects of the pseudoscalar meson theory, Phys. Rev. 84 (1951) 168.
5. R.E. Kallosh and I.V. Tyutin, The equivalence theorem and gauge invariance in renormalizable theories, Yad. Fiz. 17 (1973) 190;
6. [Sov. J. Nucl. Phys. 17 (1973) 98].
7. S. Kamefuchi, L. O'Raifeartaigh and A. Salam, Change of variables and equivalence theorems in quantum field theories, Nucl. Phys. A 28 (1961) 529.
8. T. Appelquist and J. Carazzone, Infrared singularities and massive fields, Phys. Rev. D11 (1975) 2856.
9. J. Gomis and S. Weinberg, Are nonrenormalizable gauge theories renormalizable?, Nucl. Phys. B 469 (1996) 473 [hep-th/9510087].
10. R. Stora, private communication.
11. A. Blasi, N. Maggiore, S.P. Sorella and L.C.Q. Vilar, Renormalizability of nonrenormalizable field theories, Phys. Rev. D 59 (1999) 121701 [hep-th/9812040].
12. I.V. Tyutin, Once again on the equivalence theorem, Phys. Atom. Nucl. 65 (2002) 194 [hep-th/0001050].
13. Y.-M.P. Lam, Equivalence theorem on Bogoliubov-Parasiuk-Hepp-Zimmermann renormalized lagrangian field theories, Phys. Rev. D 7 (1973) 2943.
14. M.C. Bergère and Y.-M.P. Lam, Equivalence theorem and Faddeev-Popov ghosts, Phys. Rev. D 13 (1976) 3247.
15. P. Breitenlohner and D. Maison, Dimensional renormalization and the action principle, Commun. Math. Phys. 52 (1977) 11.
16. T.E. Clark and J.H. Lowenstein, Generalization of Zimmermann's normal-product identity, Nucl. Phys. B 113 (1976) 109.
17. R. Stora, Renormalized perturbation theory: a theoretical laboratory, Talk delivered at the Conference on Mathematical Physics, Certosa di Pontignano - Siena June 20-25 2000.
18. C. Itzykson and J.B. Zuber, Quantum field theory, International Series In Pure and Applied Physics, McGraw-Hill, New York, Usa 1980.
19. C. Becchi, A. Rouet and R. Stora, The abelian Higgs-Kibble model. Unitarity of the s operator, Phys. Lett. B 52 (1974) 344.
20. C. Becchi, A. Rouet and R. Stora, Renormalization of gauge theories, Ann. Phys. (NY) 98 (1976) 287.
21. L.V. Tyutin, Lebedev preprint FIAN n.39 (1975).
22. C. Becchi, A. Rouet and R. Stora, Renormalizable theories with symmetry breaking, in Field theory, quantization and statistical physics, E. Tirapegui ed., Dordrecht, Reidel 1981, pp. 3-32.
23. F. Bastianelli, BRST symmetry from a change of variables and the gauged WZNW models, Nucl. Phys. B 361 (1991) 555.
24. F. Bastianelli, Ward identities for quantum field theories with external fields, Phys. Lett. B 263 (1991) 411.
25. J. Alfaro and P.H. Damgaard, Schwinger-Dyson equations as supersymmetric Ward identities, Phys. Lett. B 222 (1989) 425.
26. J. Alfaro and P.H. Damgaard, Field transformations, collective coordinates and BRST invariance, Ann. Phys. (NY) 202 (1990) 398.
27. J. Alfaro and P.H. Damgaard, BRST symmetry of field redefinitions, Ann. Phys. (NY) 220 (1992) 188.
28. J. Alfaro and P.H. Damgaard, Origin of antifields in the Batalin-Vilkovisky lagrangian formalism, Nucl. Phys. B 404 (1993) 751 [hep-th/9301103].
29. M. Picariello and A. Quadri, Higher order anomaly consistency conditions: renormalization and non-locality, Phys. Lett. B 497 (2001) 91 [hep-th/0001174].
30. O. Piguet and S.P. Sorella, Algebraic renormalization: perturbative renormalization, symmetries and anomalies, Lecture notes in physics M28, Springer, Berlin, Germany 1995.
31. B. Zumino, Chiral anomalies and differential geometry, lectures given at Les Hauches Summer School on Theoretical Physics, Les Houches, France, Aug 8 - Sep 2, 1983.
32. A. Quadri, Algebraic properties of BRST coupled doublets, hep-th/0201122.
33. M. Picariello and A. Quadri, Refined chiral Slavnov-Taylor identities: renormalization and local physics, Int. J. Theor. Phys. 41 (2002) 393 [hep-th/0101167].
34. R. Ferrari, M. Picariello and A. Quadri, work in progress.
35. G. Barnich, F. Brandt and M. Henneaux, Local BRST cohomology in gauge theories, Phys. Rept. 338 (2000) 439 [hep-th/0002245].