SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions

We calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2 + 1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N ∈ [2, 16] so as to control the N -dependence with a useful precision. We observe a number of...

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Main Authors: Athenodorou, A, Teper, M
Format: Journal article
Published: Springer Berlin Heidelberg 2017
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author Athenodorou, A
Teper, M
author_facet Athenodorou, A
Teper, M
author_sort Athenodorou, A
collection OXFORD
description We calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2 + 1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N ∈ [2, 16] so as to control the N -dependence with a useful precision. We observe a number of striking near-degeneracies in the various JPC sectors of the glueball spectrum, in particular between C = + and C = − states. We calculate the string tensions of flux tubes in a number of representations, and provide evidence that the leading correction to the N -dependence of the k-string tensions is ∝ 1/N rather than ∝ 1/N2, and that the dominant binding of k fundamental flux tubes into a k-string is via pairwise interactions. We comment on the possible implications of our results for the dynamics of these gauge theories.
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spelling oxford-uuid:5b808879-0ab2-45dc-94aa-140703473a742022-03-26T17:22:30ZSU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5b808879-0ab2-45dc-94aa-140703473a74Symplectic Elements at OxfordSpringer Berlin Heidelberg2017Athenodorou, ATeper, MWe calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2 + 1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N ∈ [2, 16] so as to control the N -dependence with a useful precision. We observe a number of striking near-degeneracies in the various JPC sectors of the glueball spectrum, in particular between C = + and C = − states. We calculate the string tensions of flux tubes in a number of representations, and provide evidence that the leading correction to the N -dependence of the k-string tensions is ∝ 1/N rather than ∝ 1/N2, and that the dominant binding of k fundamental flux tubes into a k-string is via pairwise interactions. We comment on the possible implications of our results for the dynamics of these gauge theories.
spellingShingle Athenodorou, A
Teper, M
SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title_full SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title_fullStr SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title_full_unstemmed SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title_short SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
title_sort su n gauge theories in 2 1 dimensions glueball spectra and k string tensions
work_keys_str_mv AT athenodoroua sungaugetheoriesin21dimensionsglueballspectraandkstringtensions
AT teperm sungaugetheoriesin21dimensionsglueballspectraandkstringtensions