Running couplings in equivariantly gauge-fixed SU(N) Yang-Mills theories
- Dipartimento di Fisica, Universita di Roma 'La Sapienza', INFN, Sezione di Roma 'La Sapienza', Piazzale le Aldo Moro 2, I-00185 Rome (Italy)
- School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat Aviv, 69978 (Israel)
In equivariantly gauge-fixed SU(N) Yang-Mills theories, the gauge symmetry is only partially fixed, leaving a subgroup H subset of SU(N) unfixed. Such theories avoid Neuberger's nogo theorem if the subgroup H contains at least the Cartan subgroup U(1){sup N-1}, and they are thus nonperturbatively well defined if regulated on a finite lattice. We calculate the one-loop beta function for the coupling g-tilde{sup 2}={xi}g{sup 2}, where g is the gauge coupling and {xi} is the gauge parameter, for a class of subgroups including the cases that H=U(1){sup N-1} or H=SU(M)xSU(N-M)xU(1). The coupling g-tilde represents the strength of the interaction of the gauge degrees of freedom associated with the coset SU(N)/H. We find that g-tilde, like g, is asymptotically free. We solve the renormalization-group equations for the running of the couplings g and g-tilde, and find that dimensional transmutation takes place also for the coupling g-tilde, generating an infrared scale {lambda}-tilde which can be larger than or equal to the scale {lambda} associated with the gauge coupling g, but not smaller. We speculate on the possible implications of these results.
- OSTI ID:
- 20774622
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevD.73.014510; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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