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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...
Autores principales: | , |
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Lenguaje: | eng |
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2015
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP06(2015)183 http://cds.cern.ch/record/2015685 |
_version_ | 1780946689437204480 |
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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. |
id | cern-2015685 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2015 |
record_format | invenio |
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 |