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

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

2010-10-05

arxiv.org/abs/1010.0912v2

Phys.Rev.D83:025016,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.83.025016

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.

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