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

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 posit...

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Detalles Bibliográficos
Autores principales: Fabbrichesi, M, Percacci, R, Tonero, A, Zanusso, O
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Phenomenology
Acceso en línea:http://cds.cern.ch/record/1297895
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author Fabbrichesi, M
Percacci, R
Tonero, A
Zanusso, O
author_facet Fabbrichesi, M
Percacci, R
Tonero, A
Zanusso, O
author_sort Fabbrichesi, M
collection CERN
description 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. For large N the model is weakly coupled, unitary at all energies and well described by the lowest order of chiral perturbation theory. Attention is payed to the gauge- and scheme-dependence of the results.
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spelling cern-12978952019-09-30T06:29:59Z http://cds.cern.ch/record/1297895 eng Fabbrichesi, M Percacci, R Tonero, A Zanusso, O Asymptotic safety and the gauged SU(N) nonlinear sigma-model Particle Physics - Phenomenology 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. For large N the model is weakly coupled, unitary at all energies and well described by the lowest order of chiral perturbation theory. Attention is payed to the gauge- and scheme-dependence of the results. info:eu-repo/grantAgreement/EC/FP7/237920 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1297895 2010-10-06
spellingShingle Particle Physics - Phenomenology
Fabbrichesi, M
Percacci, R
Tonero, A
Zanusso, O
Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title_full Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title_fullStr Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title_full_unstemmed Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title_short Asymptotic safety and the gauged SU(N) nonlinear sigma-model
title_sort asymptotic safety and the gauged su(n) nonlinear sigma-model
topic Particle Physics - Phenomenology
url http://cds.cern.ch/record/1297895
http://cds.cern.ch/record/1297895
work_keys_str_mv AT fabbrichesim asymptoticsafetyandthegaugedsunnonlinearsigmamodel
AT percaccir asymptoticsafetyandthegaugedsunnonlinearsigmamodel
AT toneroa asymptoticsafetyandthegaugedsunnonlinearsigmamodel
AT zanussoo asymptoticsafetyandthegaugedsunnonlinearsigmamodel

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