• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2015, Vol. 60, N 6, p.497-502
https://doi.org/10.15407/ujpe60.06.0497   Paper

McKeon D.G.C.1,2

1 Department of Applied Mathematics, University of Western Ontario (London Canada N6A 5B7)
2 Department of Mathematics and Computer Science, Algoma University
(Sault St. Marie Canada P6A 2G4, Canada; e-mail: dgmckeo2@uwo.ca)

Determining the Running Coupling from the Effective Action

Section: Fields and elementary particles
Language: English

Abstract: The conformal anomaly has provided an expression for the effective action of gauge theories in the presence of a strong background field in terms of the running coupling constant. We exploit this result to find a novel expansion for the running coupling constant and to compare it with conventional expansions obtained by directly integrating the differential equation for the running coupling constant.

Key words: running coupling, gauge theory.

References:

  1. R.J. Crewther, Phys. Rev. Lett. 28, 1421 (1972); CrossRef M.S. Chanowitz and J.R. Ellis, Phys. Lett. B 40, 397 (1972); CrossRef S.L. Adler, J.C. Collins, and A. Duncan, Phys. Rev. D 15, 1712 (1977); CrossRef J.C. Collins, A. Duncan, and S.D. Joglekar, Phys. Rev. D 16, 438 (1977); CrossRef N.K. Nielsen, Nucl. Phys. B 120, 212 (1977); CrossRef P. Minkowski, Bern preprint 76-0813.
  2. H. Pagels and E. Tomboulis, Nucl. Phys. B 143, 485 (1978); CrossRef H. Leutwyler, Nucl. Phys. B 179, 129 (1981); CrossRef G.V. Dunne, H. Gies, and C. Schubert, JHEP 0211, 032 (2006).
  3. D.G.C. McKeon, Can. J. Phys. 89, 277 (2011). CrossRef
  4. S.G. Matinyan and G.V. Savvidy, Nucl. Phys. B 134, 539 (1978); CrossRef L. Abbott, Nucl. Phys. B 185, 189 (1981). CrossRef
  5. W. Dittrich and M. Reuter, Effective Lagrangian in Quantum Electrodynamics (Springer, Berlin, 1984).
  6. R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey, and D.E. Knuth, Adv. Comput. Math. 5, 329 (1996); CrossRef E. Gardi, G. Grunberg, and M. Karliner, JHEP 07, 007 (1998); B.A. Magredze, Int. J. Mod. Phys. A 15, 2715 (2000); D.G.C. McKeon and A. Rebhan, Phys. Rev. D 67, 027701 (2002). CrossRef
  7. J.M. Chung and B.K. Chung, Phys. Rev. D60, 105001 (1999); CrossRef V. Elias, D.G.C. McKeon, and T.G. Steele, Int. J. Mod. Phys. A 18, 3417 (2003). CrossRef
  8. F.A. Chishtie, T. Hanif, D.G.C. McKeon, and T.G. Steele, Phys. Rev. D 77, 065007 (2008). CrossRef
  9. B.A. Kniehl, A.V. Kotikov, A.I. Onishchenko, and O.L. Veretin, Phys. Rev. Lett. 97, 042001 (2006). CrossRef
  10. G.X. Peng, Phys. Lett. B 634, 413 (2006). CrossRef
  11. T. Van Ritbergen, J.A.M. Vermaseren, and S.A. Larin, Phys. Lett. B 400, 379 (1997);
     CrossRef M. Czabon, Nucl. Phys. B 710, 485 (2005). CrossRef
  12. A.L. Kataev and S.A. Larin, JETP 96, 64 (2012). P.A. Baikov, K.G. Chetyrkin, J.H. Kuhn, and J. Rittinger, JHEP 1207, 017 (2012).