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(Dimensional) twisted reduction in large N gauge theories

We show that the spontaneous breaking of center symmetry can be avoided on a $L^2\times 1^2$ lattice with the appropriate choice of twisted boundary conditions. In order for this to work it is crucial that the twisted boundary conditions are chosen in the reduced plane. This suggests that the choice...

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Detalles Bibliográficos
Autores principales: Ramos, Alberto, Keegan, Liam
Lenguaje:eng
Publicado: 2015
Materias:
Acceso en línea:https://dx.doi.org/10.22323/1.251.0290
http://cds.cern.ch/record/2063233
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author Ramos, Alberto
Keegan, Liam
author_facet Ramos, Alberto
Keegan, Liam
author_sort Ramos, Alberto
collection CERN
description We show that the spontaneous breaking of center symmetry can be avoided on a $L^2\times 1^2$ lattice with the appropriate choice of twisted boundary conditions. In order for this to work it is crucial that the twisted boundary conditions are chosen in the reduced plane. This suggests that the choice of twist tensor can influence the directions in which color and space degrees of freedom become indistinguishable. We also present some preliminary quantitative data comparing the value of the plaquette for different forms of reduction.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-20632332021-05-11T13:29:10Zdoi:10.22323/1.251.0290http://cds.cern.ch/record/2063233engRamos, AlbertoKeegan, Liam(Dimensional) twisted reduction in large N gauge theorieshep-latParticle Physics - LatticeWe show that the spontaneous breaking of center symmetry can be avoided on a $L^2\times 1^2$ lattice with the appropriate choice of twisted boundary conditions. In order for this to work it is crucial that the twisted boundary conditions are chosen in the reduced plane. This suggests that the choice of twist tensor can influence the directions in which color and space degrees of freedom become indistinguishable. We also present some preliminary quantitative data comparing the value of the plaquette for different forms of reduction.arXiv:1510.08360CERN-PH-TH-2015-254oai:cds.cern.ch:20632332015-10-28
spellingShingle hep-lat
Particle Physics - Lattice
Ramos, Alberto
Keegan, Liam
(Dimensional) twisted reduction in large N gauge theories
title (Dimensional) twisted reduction in large N gauge theories
title_full (Dimensional) twisted reduction in large N gauge theories
title_fullStr (Dimensional) twisted reduction in large N gauge theories
title_full_unstemmed (Dimensional) twisted reduction in large N gauge theories
title_short (Dimensional) twisted reduction in large N gauge theories
title_sort (dimensional) twisted reduction in large n gauge theories
topic hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.251.0290
http://cds.cern.ch/record/2063233
work_keys_str_mv AT ramosalberto dimensionaltwistedreductioninlargengaugetheories
AT keeganliam dimensionaltwistedreductioninlargengaugetheories