Lattice gauge theory without link variables

We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast...

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Detalles Bibliográficos
Autores principales: Vairinhos, Hélvio, de Forcrand, Philippe
Lenguaje:eng
Publicado: 2014
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1007/JHEP12(2014)038
http://cds.cern.ch/record/1951631
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author Vairinhos, Hélvio
de Forcrand, Philippe
author_facet Vairinhos, Hélvio
de Forcrand, Philippe
author_sort Vairinhos, Hélvio
collection CERN
description We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast the partition function of lattice gauge theory as a Gaussian integral over auxiliary fields.
id cern-1951631
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
record_format invenio
spelling cern-19516312023-10-04T08:57:32Zdoi:10.1007/JHEP12(2014)038http://cds.cern.ch/record/1951631engVairinhos, Hélviode Forcrand, PhilippeLattice gauge theory without link variablesParticle Physics - LatticeWe obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast the partition function of lattice gauge theory as a Gaussian integral over auxiliary fields.We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast the partition function of lattice gauge theory as a Gaussian integral over auxiliary fields.We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast the partition function of lattice gauge theory as a Gaussian integral over auxiliary fields.arXiv:1409.8442CERN-PH-TH-2014-186CERN-PH-TH-2014-186oai:cds.cern.ch:19516312014-09-30
spellingShingle Particle Physics - Lattice
Vairinhos, Hélvio
de Forcrand, Philippe
Lattice gauge theory without link variables
title Lattice gauge theory without link variables
title_full Lattice gauge theory without link variables
title_fullStr Lattice gauge theory without link variables
title_full_unstemmed Lattice gauge theory without link variables
title_short Lattice gauge theory without link variables
title_sort lattice gauge theory without link variables
topic Particle Physics - Lattice
url https://dx.doi.org/10.1007/JHEP12(2014)038
http://cds.cern.ch/record/1951631
work_keys_str_mv AT vairinhoshelvio latticegaugetheorywithoutlinkvariables
AT deforcrandphilippe latticegaugetheorywithoutlinkvariables

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