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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...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
2015
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.22323/1.251.0290 http://cds.cern.ch/record/2063233 |
_version_ | 1780948576031997952 |
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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. |
id | cern-2063233 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2015 |
record_format | invenio |
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 |