Computation of the running coupling in the SU(2) Yang-Mills theory

A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well desc...

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Detalles Bibliográficos
Autores principales: Luscher, Martin, Sommer, Rainer, Wolff, Ulli, Weisz, Peter
Lenguaje:eng
Publicado: 1993
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90292-W
http://cds.cern.ch/record/238892
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author Luscher, Martin
Sommer, Rainer
Wolff, Ulli
Weisz, Peter
author_facet Luscher, Martin
Sommer, Rainer
Wolff, Ulli
Weisz, Peter
author_sort Luscher, Martin
collection CERN
description A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop approximation to the Callan-Symanzik beta-function. At the highest momentum reached, q=20 sqrt(K), we obtain alpha_MSbar(q)=0.187 +/- 0.005 +/- 0.009 for the running coupling in the MSbar scheme of dimensional regularization.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-2388922019-09-30T06:29:59Zdoi:10.1016/0550-3213(93)90292-Whttp://cds.cern.ch/record/238892engLuscher, MartinSommer, RainerWolff, UlliWeisz, PeterComputation of the running coupling in the SU(2) Yang-Mills theoryParticle Physics - TheoryA finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop approximation to the Callan-Symanzik beta-function. At the highest momentum reached, q=20 sqrt(K), we obtain alpha_MSbar(q)=0.187 +/- 0.005 +/- 0.009 for the running coupling in the MSbar scheme of dimensional regularization.A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop approximation to the Callan-Symanzik beta-function. At the highest momentum reached, q=20 sqrt(K), we obtain alpha_MSbar(q)=0.187 +/- 0.005 +/- 0.009 for the running coupling in the MSbar scheme of dimensional regularization.A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling α ( q ) for a range of a momenta q is given in units of the string tension K . We find that already at rather low q , the evolution of α ( q ) is well described by the 2-loop approximation to the Callan-Symanzik β-function. At the highest momentum reached, q = 20 × √ K , we obtain α MS (q) = 0.187±0.005±0.009 for the running coupling in the MS scheme of dimensional regularization.DESY-92-096CERN-TH-6566-92hep-lat/9207010CERN-TH-6566-92DESY-92-096oai:cds.cern.ch:2388921993
spellingShingle Particle Physics - Theory
Luscher, Martin
Sommer, Rainer
Wolff, Ulli
Weisz, Peter
Computation of the running coupling in the SU(2) Yang-Mills theory
title Computation of the running coupling in the SU(2) Yang-Mills theory
title_full Computation of the running coupling in the SU(2) Yang-Mills theory
title_fullStr Computation of the running coupling in the SU(2) Yang-Mills theory
title_full_unstemmed Computation of the running coupling in the SU(2) Yang-Mills theory
title_short Computation of the running coupling in the SU(2) Yang-Mills theory
title_sort computation of the running coupling in the su(2) yang-mills theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(93)90292-W
http://cds.cern.ch/record/238892
work_keys_str_mv AT luschermartin computationoftherunningcouplinginthesu2yangmillstheory
AT sommerrainer computationoftherunningcouplinginthesu2yangmillstheory
AT wolffulli computationoftherunningcouplinginthesu2yangmillstheory
AT weiszpeter computationoftherunningcouplinginthesu2yangmillstheory

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