Dimensional reduction and the phase diagram of 5d Yang-Mills theory

We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale...

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Detalles Bibliográficos
Autores principales: Kurkela, A., de Forcrand, Ph., Panero, M.
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.22323/1.091.0050
http://cds.cern.ch/record/1223539
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author Kurkela, A.
de Forcrand, Ph.
Panero, M.
author_facet Kurkela, A.
de Forcrand, Ph.
Panero, M.
author_sort Kurkela, A.
collection CERN
description We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale and the four-dimensional correlation length. While we demonstrate that it is not possible to take a full five-dimensional continuum limit, this dynamical generation of scale hierarchy opens up the possibility for us to make limited, but non-perturbative, predictions about continuum theories whose low-energy sector is described by an effective 5d Yang-Mills theory.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-12235392023-03-12T05:03:28Zdoi:10.22323/1.091.0050http://cds.cern.ch/record/1223539engKurkela, A.de Forcrand, Ph.Panero, M.Dimensional reduction and the phase diagram of 5d Yang-Mills theoryParticle Physics - LatticeWe present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale and the four-dimensional correlation length. While we demonstrate that it is not possible to take a full five-dimensional continuum limit, this dynamical generation of scale hierarchy opens up the possibility for us to make limited, but non-perturbative, predictions about continuum theories whose low-energy sector is described by an effective 5d Yang-Mills theory.We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale and the four-dimensional correlation length. While we demonstrate that it is not possible to take a full five-dimensional continuum limit, this dynamical generation of scale hierarchy opens up the possibility for us to make limited, but non-perturbative, predictions about continuum theories whose low-energy sector is described by an effective 5d Yang-Mills theory.arXiv:0911.3609CERN-PH-TH-2009-218CERN-PH-TH-2009-218oai:cds.cern.ch:12235392009-11-19
spellingShingle Particle Physics - Lattice
Kurkela, A.
de Forcrand, Ph.
Panero, M.
Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title_full Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title_fullStr Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title_full_unstemmed Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title_short Dimensional reduction and the phase diagram of 5d Yang-Mills theory
title_sort dimensional reduction and the phase diagram of 5d yang-mills theory
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.091.0050
http://cds.cern.ch/record/1223539
work_keys_str_mv AT kurkelaa dimensionalreductionandthephasediagramof5dyangmillstheory
AT deforcrandph dimensionalreductionandthephasediagramof5dyangmillstheory
AT panerom dimensionalreductionandthephasediagramof5dyangmillstheory

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