Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Derivative expansion of the effective action in Yang-Mills theory

D. G. C. McKeon

  • Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7

Phys. Rev. D 55, 7989 – Published 15 June, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.7989

Abstract

The effective action model for mesons relies on the one-loop effective action in quantum chromodynamics in the presence of a constant background chromoelectric field in a fixed direction in group space. We extend this effective action so as to include those terms quadratic in the first derivate of the field, for both a chromoelectric and chromomagnetic background field. An instability arises in the chromoelectric case.

References (22)

  1. S. Adler, Nucl. Phys. B217, 381 (1983).
  2. R. Mendel and H. Trottier, Phys. Rev. D 40, 3708 (1989).
  3. J. Schwinger, Phys. Rev. 82, 664 (1951).
  4. V. Vanyashin and M. Terentev, Zh. Eksp. Teor. Fiz. 48, 565 (1995) [Sov Phys. JETP 21, 375 (1965)].
  5. I. Batalin, S. Matinyan, and G. Savvidi, Sov. J. Nucl. Phys. 26, 214 (1977); M. Duff and M. Ramon-Medrano, Phys. Rev. D 12, 3357 (1975).
  6. N. K. Nielsen and P. Olesen, Nucl. Phys. B144, 376 (1978).
  7. J. Hauknes, Ann. Phys. (N.Y.) 156, 303 (1984).
  8. H. W. Lee, P. Y. Pac, and H. K. Shin, Phys. Rev. D 40, 4202 (1989).
  9. V. Gusynin and I. Shovkovy, Can. J. Phys. 74, 282 (1996).
  10. J. Honerkamp, Nucl. Phys. B48, 269 (1972).
  11. A. Salam and J. Strathdee, Nucl. Phys. B90, 203 (1975); J. S. Dowker and R. Critchley, Phys. Rev. D 13, 3224 (1976); S. Hawking, Commun. Math. Phys. 55, 133 (1977).
  12. V. Fock, Sov. Phys. 12, 404 (1937); P. Pascual and R. Tarrach, Lect. Notes Phys. 194, 168 (1984).
  13. P. B. Gilkey, J. Diff. Geom. 10, 601 (1975); B. S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
  14. A. Van de Ven, Nucl. Phys. B250, 595 (1985).
  15. W. Dittrich and H. Gies, Tubingen report, 1996 (unpublished).
  16. W. Dittrich and M. Reuter, Effective Lagrangians in Quantum Electrodynamics (Springer-Verlag, Berlin, 1985).
  17. I. Batalin and A. Shabad, Zh. Eksp. Teor. Fiz 60, 894 (1971) [Sov. Phys. JETP 33, 483 (1971)].
  18. D. Gitman, W. der Cruz, and S. I. Zlatev, USP Report 1995 (unpublished).
  19. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 5th ed. (Academic, London, 1994).
  20. W. Dittrich, J. Phys. A 9, 1171 (1976).
  21. E. Elizalde, S. Odinstov, A. Romeo, A. Bytsenko, and S. Zerbini, Zeta Reglarization Techniques with Applications (World Scientific, Singapore, 1994).
  22. O. Cheyette, Phys. Rev. Lett. 55, 2394 (1985).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation