Nonlocal regularization for non-Abelian gauge theories for arbitrary gauge parameter

Journal of Mathematical Physics

Volumn 41, Issue 11, 2000, Pages 7206-7219

  Basu, Anirban ^a   Joglekar, Satish D ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034345654     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1316762     Document Type: Article

References (20)

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3. L. W. Moffat, Phys. Rev. D 41, 1177 (1990); E. D. Evans et al., Phys. Rev. D 43, 499 (1991).
4. See, e.g., D. Z. Freedman et al., Nucl. Phys. B 395, 454 (1993).
5. G. Kleppe and R. P. Woodard, Nucl. Phys. B 388, 81 (1992).
6. G. Kleppe and R. P. Woodard, Ann. Phys. (N.Y.) 221, 106 (1993).
7. See. e.g., Ref. 7 and references therein.
8. M. A. Clayton, hep-th/9307089.
9. S. D. Joglekar and G. Saini, Z. Phys. C 76, 343 (1997).
10. S. D. Joglekar. hep-th/0003077.
11. S. D. Joglekar. hep-th/0003104.
12. J. Paris and W. Troost, hep-th/9607215.
13. See, e.g., E. Abers and B. W. Lee, Phys. Rep. 9C, 1 (1973).
14. S. D. Joglekar and G. Saini (unpublished).
15. A. Basu and S. D. Joglekar (in preparation).
16. 2| in Euclidean space.
17. We stick to the theorem numbering of Ref. 4.
18. See Ref. 15.
19. We note that the present regularization does not preserve the properties of (2.13) and (2.18). We also note that the shadow and the barred propagators in this regularization do not add up to the local one; but differ from it by "gauge terms" (that vanish as Λ→∞). This does not constitute a problem however. We can look upon this as a part of existing freedom in defining the local theory itself that exists on account of gauge invariance.
20. See, e.g., B. W. Lee, in Methods in Field Theory, Les Houches, 1975, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976).