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Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators

Michael Teper, Urs Wenger, Biagio Lucini Orcid Logo

Journal of High Energy Physics, Volume: "0406", Issue: 06, Pages: 012 - 012

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2004/06/012

Abstract

We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories....

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa27945
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spelling 2016-05-14T16:42:17.0331238 v2 27945 2016-05-14 Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the `MQCD' and `Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying in [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N=2, ...,8, and extrapolate to N=infinity, obtaining results compatible with earlier work. We show that the N=infinity factorisation of the Euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N. Journal Article Journal of High Energy Physics "0406" 06 012 012 1029-8479 30 4 2004 2004-04-30 10.1088/1126-6708/2004/06/012 http://inspirehep.net/record/647779 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:17.0331238 2016-05-14T16:42:16.8303225 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Michael Teper 1 Urs Wenger 2 Biagio Lucini 0000-0001-8974-8266 3
title Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
spellingShingle Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
Biagio Lucini
title_short Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
title_full Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
title_fullStr Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
title_full_unstemmed Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
title_sort Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Michael Teper
Urs Wenger
Biagio Lucini
format Journal article
container_title Journal of High Energy Physics
container_volume "0406"
container_issue 06
container_start_page 012
publishDate 2004
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2004/06/012
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/647779
document_store_str 0
active_str 0
description We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the `MQCD' and `Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying in [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N=2, ...,8, and extrapolate to N=infinity, obtaining results compatible with earlier work. We show that the N=infinity factorisation of the Euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N.
published_date 2004-04-30T03:33:57Z
_version_ 1763751427811835904
score 10.998093

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