Gauge-invariant coordinates on gauge-theory orbit space

Physical Review D

Volumn 70, Issue 4 B, 2004, Pages

  Orland, Peter ^a,b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DECOMPOSITION; MATHEMATICAL ANALYSIS; SPACE;

EID: 42749107562     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.045014     Document Type: Article

References (37)

1. V.N. Gribov, Nucl. Phys. B139, 1 (1978);
2. M.S. Narasimhan and T.R. Ramadas, Commun. Math. Phys. 67, 121 (1979);
3. O. Babelon and C.M. Viallet, Phys. Lett. 101B, 45 (1981);
4. M. Asorey and P.K. Mitter, Commun. Math. Phys. 80, 43 (1981);
5. P. van Baal, International Workshop on Nonperturbative Issues in QCD, Trento, Italy 1995, edited by D. Diakonov (Petersburg Nucl. Phys. Inst., St. Petersburg, Russia, 1995), p. 4, hep-th/9511119.
6. I.M. Singer, Commun. Math. Phys. 60, 7 (1978);
7. Phys. Scr. 24, 817(1981).
8. O. Babelon and CM Viallet, Commun. Math. Phys. 81, 515 (1981).
9. P. Orland, hep-th/9607134 (1996).
10. M. Kudinov, E. Moreno, and P. Orland, in Zakopane 1997: New Developments in Quantum Field Theory, 1997 edited by P. Damgaard and J. Jurkiewicz (Plenum Press, New York, 1998), p. 315.
11. P. Orland and G.W. Semenoff, Nucl. Phys. B576, 627 (2000).
12. M.B. Halpern, Phys. Rev. D 16, 1798 (1977);
13. J. Goldstone and R. Jackiw, Phys. Lett. 74B, 81 (1978);
14. B. Sakita, Phys. Rev. D 21, 1067 (1980);
15. A. Jevicki, Report BROWN-HET-441, 1980;
16. A.A. Migdal, Phys. Lett. 96B, 333 (1980).
17. J. Maldacena, TASI 2003 lectures on AdS/CFT, hep-th/0309246 and references therein.
18. D. Karabali and V.P. Nair, Nucl. Phys. B464, 135 (1996);
19. Phys. Lett. B 379, 141 (1996).
20. D. Karabali, C. Kim, and V.P. Nair, Nucl. Phys. B524, 661 (1998);
21. Phys. Lett. B 434, 103 (1998);
22. Nucl. Phys. B566, 331 (2000);
23. Phys. Rev. D 64, 025011 (2000).
24. G. Dell'Antonio and D. Zwanziger, Nucl. Phys. B326, 333 (1989);
25. Commun. Math. Phys. 138, 291 (1991).
26. R.P. Feynman, Nucl. Phys. B188, 479 (1981).
27. V.P. Nair and A. Yelnikov, hep-th/0302176.
28. (y,β) defines operators which should have self-adjoint extensions. The same idea should work for other numbers of space dimensions.
29. E.B. Davies, Heat Kernels and Spectral Theory (Cambridge University Press, Cambridge, UK, 1989);
30. I. Chavel, Eigenvalues in Riemannian Geometry (Academic Press, New York, 1984).
31. K. Gawedzki, Phys. Rev. D 26, 3593 (1982).
32. B. Simon, Functional Integration and Quantum Physics (Academic Press, New York, 1979).
33. S. Mandelstam, Bull. Am. Phys. Soc. 22, 541 (1977);
34. G. 't Hooft, Nucl. Phys. B138, 1 (1978);
35. S. Mandelstam, Phys. Rev. D 19, 2391 (1979);
36. G. 't Hooft, Nucl. Phys. B190, 455 (1981).
37. S.G. Rajeev, hep-th/0401202.