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U(1) lattice gauge theory with a topological action

We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase wh...

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Detalles Bibliográficos
Autores principales: Akerlund, Oscar, de Forcrand, Philippe
Lenguaje:eng
Publicado: 2015
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP06(2015)183
http://cds.cern.ch/record/2015685
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author Akerlund, Oscar
de Forcrand, Philippe
author_facet Akerlund, Oscar
de Forcrand, Philippe
author_sort Akerlund, Oscar
collection CERN
description We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase where magnetic monopoles condense, and a Coulomb phase where monopoles are dilute. We also find a third phase where monopoles are completely absent. The topological action offers an algorithmic advantage for the computation of the free energy.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-20156852023-10-04T08:17:42Zdoi:10.1007/JHEP06(2015)183http://cds.cern.ch/record/2015685engAkerlund, Oscarde Forcrand, PhilippeU(1) lattice gauge theory with a topological actionParticle Physics - LatticeWe investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase where magnetic monopoles condense, and a Coulomb phase where monopoles are dilute. We also find a third phase where monopoles are completely absent. The topological action offers an algorithmic advantage for the computation of the free energy.We investigate the phase diagram of the compact U(1) lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous de-formations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase where magnetic monopoles condense, and a Coulomb phase where monopoles are dilute. We also find a third phase where monopoles are completely absent. However, since the monopoles do not influence the long-distance prop-erties of the Coulomb phase, the physics is smooth across the singularity in the monopole density. The topological action offers an algorithmic advantage for the computation of the free energy.We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase where magnetic monopoles condense, and a Coulomb phase where monopoles are dilute. We also find a third phase where monopoles are completely absent. The topological action offers an algorithmic advantage for the computation of the free energy.arXiv:1505.02666CERN-PH-TH-2015-110CERN-PH-TH-2015-110oai:cds.cern.ch:20156852015-05-11
spellingShingle Particle Physics - Lattice
Akerlund, Oscar
de Forcrand, Philippe
U(1) lattice gauge theory with a topological action
title U(1) lattice gauge theory with a topological action
title_full U(1) lattice gauge theory with a topological action
title_fullStr U(1) lattice gauge theory with a topological action
title_full_unstemmed U(1) lattice gauge theory with a topological action
title_short U(1) lattice gauge theory with a topological action
title_sort u(1) lattice gauge theory with a topological action
topic Particle Physics - Lattice
url https://dx.doi.org/10.1007/JHEP06(2015)183
http://cds.cern.ch/record/2015685
work_keys_str_mv AT akerlundoscar u1latticegaugetheorywithatopologicalaction
AT deforcrandphilippe u1latticegaugetheorywithatopologicalaction