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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Format: | Journal article |
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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. |
first_indexed | 2024-03-06T22:40:53Z |
format | Journal article |
id | oxford-uuid:5b808879-0ab2-45dc-94aa-140703473a74 |
institution | University of Oxford |
last_indexed | 2024-03-06T22:40:53Z |
publishDate | 2017 |
publisher | Springer Berlin Heidelberg |
record_format | dspace |
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 |