Asymptotic safety and the gauged SU(N) nonlinear sigma-model

Abstract

We study the beta functions of the leading, two-derivative terms of the left-gauged SU(N) nonlinear sigma-model in d dimensions. In d>2, we find the usual Gaussian ultraviolet fixed point for the gauge coupling and an attractive non-Gaussian fixed point for the Goldstone boson coupling. The position of the latter fixed point controls the chiral expansion, unitarity and the strength of the tree-level Goldstone boson scattering amplitudes. Attention is paid to the gauge- and scheme-dependence of the results.

REVTeX4, 11 pages, no figures, v2. Revised version accepted for publication in PRD where comments on large N have been removed

References in corpus (3)

• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Fixed Points of Nonlinear Sigma Models in d>2
• Decoupling and Destabilizing in Spontaneously Broken Supersymmetry

Cited by in corpus (3)

• Asymptotic safety: a simple example
• Asymptotically safe weak interactions
• The electroweak S and T parameters from a fixed point condition