Asymptotic safety and the gauged SU(N) nonlinear sigma-model
High Energy Physics - Phenomenology
2011-05-19 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1010.0912,
title = {Asymptotic safety and the gauged SU(N) nonlinear sigma-model},
author = {M. Fabbrichesi and R. Percacci and A. Tonero and O. Zanusso},
journal= {arXiv preprint arXiv:1010.0912},
year = {2011}
}
Comments
REVTeX4, 11 pages, no figures, v2. Revised version accepted for publication in PRD where comments on large N have been removed