On localization and regularization

Journal of Mathematical Physics

Volumn 37, Issue 7, 1996, Pages 3141-3152

  Miettinen, Mauri ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030537688     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531561     Document Type: Article

References (28)

1. J. J. Duistermaat and G. J. Heckman, Inv. Math. 69, 259 (1982).
2. M. Blau, E. Keski-Vakkuri, and A. J. Niemi, Phys. Lett. B 246, 92 (1990); A. J. Niemi and P. Pasanen, Phys. Lett B 253, 349 (1991); E. Keski-Vakkuri, A. J. Niemi, G. Semenoff, and O. Tirkkonen, Phys. Rev. D 44, 3899 (1991); A. J. Niemi and O. Tirkkonen, Ann. Phys. 235, 318 (1994).
3. M. Blau, E. Keski-Vakkuri, and A. J. Niemi, Phys. Lett. B 246, 92 (1990); A. J. Niemi and P. Pasanen, Phys. Lett B 253, 349 (1991); E. Keski-Vakkuri, A. J. Niemi, G. Semenoff, and O. Tirkkonen, Phys. Rev. D 44, 3899 (1991); A. J. Niemi and O. Tirkkonen, Ann. Phys. 235, 318 (1994).
4. M. Blau, E. Keski-Vakkuri, and A. J. Niemi, Phys. Lett. B 246, 92 (1990); A. J. Niemi and P. Pasanen, Phys. Lett B 253, 349 (1991); E. Keski-Vakkuri, A. J. Niemi, G. Semenoff, and O. Tirkkonen, Phys. Rev. D 44, 3899 (1991); A. J. Niemi and O. Tirkkonen, Ann. Phys. 235, 318 (1994).
5. M. Blau, E. Keski-Vakkuri, and A. J. Niemi, Phys. Lett. B 246, 92 (1990); A. J. Niemi and P. Pasanen, Phys. Lett B 253, 349 (1991); E. Keski-Vakkuri, A. J. Niemi, G. Semenoff, and O. Tirkkonen, Phys. Rev. D 44, 3899 (1991); A. J. Niemi and O. Tirkkonen, Ann. Phys. 235, 318 (1994).
6. N. Woodhouse, Geometric Quantization (Clarendon, Oxford, 1980).
7. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. B 69, 309 (1977); I. A. Batalin and E. S. Fradkin, Phys. Lett B 122, 157 (1983).
8. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. B 69, 309 (1977); I. A. Batalin and E. S. Fradkin, Phys. Lett B 122, 157 (1983).
9. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1989).
10. H. Hofer and E. Zehnder, Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser Verlag, Berlin, 1994).
11. M. Nakahara, Geometry, Topology and Physics (IOP, Bristol, 1990).
12. T. Eguchi, P. B. Gilkey, and A. J. Hanson, Phys. Rep. 66, 213 (1980).
13. S. Elizur, E. Rabinovici, Y. Frishman, and A. Schwimmer, Nucl. Phys. B 273, 93 (1986).
14. N. Berline, E. Getzler, and M. Vergne, Heat Kernels and Dirac Operators (Springer-Verlag, Berlin, 1991).
15. H. M. Dykstra, J. D. Lykken, and E. J. Raiten, Phys. Lett. B 302, 302 (1993).
16. A. J. Niemi and K. Palo, preprint UU-ITP 10/94, hep-th/9406068.
17. A. Alekseev, L. Faddeev, and S. Shatashvili, J. Geom. Phys. 5, 391 (1989).
18. M. Stone, Nucl. Phys. B 314, 557 (1989).
19. H. B. Nielsen and D. Rohrlich, Nucl. Phys. B 299, 471 (1988).
20. K. Funahashi, T. Kashiwa, S. Nima, and S. Sakoda, Nucl. Phys. B 453, 508-528 (1995); K. Funahashi, Taro Kashiwa, S. Sakoda, and K. Fujii, J. Math. Phys. 36, 4590-4611 (1995).
21. K. Funahashi, T. Kashiwa, S. Nima, and S. Sakoda, Nucl. Phys. B 453, 508-528 (1995); K. Funahashi, Taro Kashiwa, S. Sakoda, and K. Fujii, J. Math. Phys. 36, 4590-4611 (1995).
22. A. M. Perelomov, Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
23. O. Alvarez, I. M. Singer, and P. Windey, Nucl. Phys. B 337, 467 (1990).
24. A. Kirillov, Funct. Anal. Appl. 2, 90 (1968); 2, 133 (1968); Elements of the Theory of Representations (Springer-Verlag, Berlin, 1976).
25. A. Kirillov, Funct. Anal. Appl. 2, 90 (1968); 2, 133 (1968); Elements of the Theory of Representations (Springer-Verlag, Berlin, 1976).
26. A. Kirillov, Funct. Anal. Appl. 2, 90 (1968); 2, 133 (1968); Elements of the Theory of Representations (Springer-Verlag, Berlin, 1976).
27. E. Witten, Commun. Math. Phys. 121, 351 (1989); D. Birmingham, M. Blau, M. Rakowski, and G. Thompson, Phys. Rep. 209, 129 (1991).
28. E. Witten, Commun. Math. Phys. 121, 351 (1989); D. Birmingham, M. Blau, M. Rakowski, and G. Thompson, Phys. Rep. 209, 129 (1991).