Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Equivalence of the self-dual model and Maxwell-Chern-Simons theory on arbitrary manifolds

Emil M. Prodanov* and Siddhartha Sen

  • School of Mathematics, Trinity College, Dublin 2, Ireland

  • *Email address: prodanov@maths.tcd.ie
  • Email address: sen@maths.tcd.ie

Phys. Rev. D 59, 065019 – Published 24 February, 1999Erratum Phys. Rev. D 66, 089902 (2002)

DOI: https://doi.org/10.1103/PhysRevD.59.065019

Abstract

Using a group-invariant version of the Faddeev-Popov method we explicitly obtain the partition functions of the self-dual model and Maxwell-Chern-Simons theory. We show that their ratio coincides with the partition function of Abelian Chern-Simons theory to within a phase factor depending on the geometrical properties of the manifold.

Erratum

References (24)

  1. R. Jackiw and S. Templeton, Phys. Rev. D 23, 2291 (1981).
  2. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982); Ann. Phys. (N.Y.) 140, 372 (1982).
  3. J. Schonfeld, Nucl. Phys. B185, 157 (1981).
  4. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
  5. A. P. Balachandran, L. Chandar, E. Ercolessi, T. R. Govindarajan, and R. Shankar, Int. J. Mod. Phys. A 8, 3417 (1994).
  6. S. Deser, R. Jackiw, Phys. Lett. 139B, 371 (1984).
  7. E. Fradkin and F. A. Schaposnik, Phys. Lett. B 338, 253 (1994).
  8. N. Bralic, E. Fradkin, V. Manias, and F. A. Schaposnik, Nucl. Phys. B446, 144 (1995).
  9. P. J. Arias and A. Restuccia, Phys. Lett. B 347, 241 (1995).
  10. R. Banerjee, H. J. Rothe, and K. D. Rothe, Phys. Rev. D 52, 3750 (1995).
  11. R. Banerjee and H. J. Rothe, Nucl. Phys. B447, 183 (1995).
  12. Y. I. Kogan, Mod. Phys. Lett. A 6, 501 (1991).
  13. J. C. Le Guillou, E. F. Moreno, C. Nunez, and F. A. Schaposnik, Mod. Phys. Lett. A 12, 2707 (1997).
  14. J. Stephany, Phys. Lett. B 390, 128 (1997).
  15. A. S. Schwarz, Quantum Field Theory and Topology (Springer-Verlag, Berlin, 1993).
  16. A. S. Schwarz, Commun. Math. Phys. 64, 233 (1979).
  17. E. Witten, Commun. Math. Phys. 121, 351 (1989).
  18. E. Elizalde, L. Vanzo, and S. Zerbini, Commun. Math. Phys. 194, 613 (1998).
  19. D. Adams and S. Sen, Phys. Lett. B 353, 495 (1995).
  20. S. Deser, L. Griguolo, and D. Seminara, Phys. Rev. D 57, 7444 (1998).
  21. D. H. Adams, “R-torsion and Linking Numbers from Simplicial Abelian Gauge Theories,” hep-th/9612009.
  22. A. S. Schwarz, Lett. Math. Phys. 2, 247 (1978).
  23. A. S. Schwarz and Yu. Tyupkin, Nucl. Phys. B242, 436 (1984).
  24. D. B. Ray and I. M. Singer, Adv. Math. 7, 145 (1971).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation