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Topology and glueballs in SU(7) Yang-Mills with open boundary conditions

Alessandro Amato, Gunnar Bali, Biagio Lucini Orcid Logo

Swansea University Author: Biagio Lucini Orcid Logo

Abstract

It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice spacing, affecting the ergodicity of the simulation. In SU(N) gauge...

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Published: 2015
Online Access: http://inspirehep.net/record/1407846
URI: https://cronfa.swan.ac.uk/Record/cronfa28317
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spelling 2016-05-25T18:41:11.3334691 v2 28317 2016-05-25 Topology and glueballs in SU(7) Yang-Mills with open boundary conditions 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-25 SMA It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice spacing, affecting the ergodicity of the simulation. In SU(N) gauge theories for large N this problem sets in at much coarser lattice spacings than for N=3. This means that its systematics can be studied on lattices that are smaller in terms of the number of lattice sites. It has been shown that using open boundary conditions in time allows instantons to be created and destroyed, restoring topological mobility and ergodicity. However, with open boundary conditions translational invariance is lost and the influence of spurious states propagating from the boundary into the bulk on physical correlators needs to be carefully evaluated. Moreover, while the total topological charge can be changed, the mobility of instantons across the lattice is still reduced. We consider SU(7) Yang-Mills theory and analyse its topological content in the periodic and open boundary condition cases. We also investigate scalar and pseudo-scalar glueball correlation Conference Paper/Proceeding/Abstract 31 12 2015 2015-12-31 http://inspirehep.net/record/1407846 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-25T18:41:11.3334691 2016-05-25T18:41:11.3334691 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Alessandro Amato 1 Gunnar Bali 2 Biagio Lucini 0000-0001-8974-8266 3
title Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
spellingShingle Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
Biagio Lucini
title_short Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
title_full Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
title_fullStr Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
title_full_unstemmed Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
title_sort Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Alessandro Amato
Gunnar Bali
Biagio Lucini
format Conference Paper/Proceeding/Abstract
publishDate 2015
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/1407846
document_store_str 0
active_str 0
description It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice spacing, affecting the ergodicity of the simulation. In SU(N) gauge theories for large N this problem sets in at much coarser lattice spacings than for N=3. This means that its systematics can be studied on lattices that are smaller in terms of the number of lattice sites. It has been shown that using open boundary conditions in time allows instantons to be created and destroyed, restoring topological mobility and ergodicity. However, with open boundary conditions translational invariance is lost and the influence of spurious states propagating from the boundary into the bulk on physical correlators needs to be carefully evaluated. Moreover, while the total topological charge can be changed, the mobility of instantons across the lattice is still reduced. We consider SU(7) Yang-Mills theory and analyse its topological content in the periodic and open boundary condition cases. We also investigate scalar and pseudo-scalar glueball correlation
published_date 2015-12-31T03:34:27Z
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score 11.013686

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