Testing Dimensional Reduction in SU(2) Gauge Theory

At high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperat...

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Detalles Bibliográficos
Autores principales: Kratochvila, Slavo, De Forcrand, Philippe
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0920-5632(01)01767-4
http://cds.cern.ch/record/523156
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author Kratochvila, Slavo
De Forcrand, Philippe
author_facet Kratochvila, Slavo
De Forcrand, Philippe
author_sort Kratochvila, Slavo
collection CERN
description At high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperature is progressively lowered. We observe an increasing disagreement between numerical and perturbative values from $T=4 T_c$ downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-5231562023-03-14T16:59:18Zdoi:10.1016/S0920-5632(01)01767-4http://cds.cern.ch/record/523156engKratochvila, SlavoDe Forcrand, PhilippeTesting Dimensional Reduction in SU(2) Gauge TheoryParticle Physics - LatticeAt high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperature is progressively lowered. We observe an increasing disagreement between numerical and perturbative values from $T=4 T_c$ downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.At high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperature is progressively lowered. We observe an increasing disagreement between numerical and perturbative values from $T=4 T_c$ downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.hep-lat/0110138oai:cds.cern.ch:5231562001-10-16
spellingShingle Particle Physics - Lattice
Kratochvila, Slavo
De Forcrand, Philippe
Testing Dimensional Reduction in SU(2) Gauge Theory
title Testing Dimensional Reduction in SU(2) Gauge Theory
title_full Testing Dimensional Reduction in SU(2) Gauge Theory
title_fullStr Testing Dimensional Reduction in SU(2) Gauge Theory
title_full_unstemmed Testing Dimensional Reduction in SU(2) Gauge Theory
title_short Testing Dimensional Reduction in SU(2) Gauge Theory
title_sort testing dimensional reduction in su(2) gauge theory
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0920-5632(01)01767-4
http://cds.cern.ch/record/523156
work_keys_str_mv AT kratochvilaslavo testingdimensionalreductioninsu2gaugetheory
AT deforcrandphilippe testingdimensionalreductioninsu2gaugetheory

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