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Conference Paper/Proceeding/Abstract 754 views

The Large N Limit from the Lattice

B. Lucini, Biagio Lucini Orcid Logo

Few-Body Systems, Volume: "36", Issue: 1-4, Pages: 161 - 166

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1007/s00601-004-0094-7

Abstract

A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N \to \infty$ limit exists that depends only on the 't Hoof...

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Published in: Few-Body Systems
ISSN: 0177-7963 1432-5411
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa27940
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first_indexed 2016-05-15T01:22:50Z
last_indexed 2018-02-09T05:11:32Z
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spelling 2016-05-14T16:42:14.0067044 v2 27940 2016-05-14 The Large N Limit from the Lattice 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N \to \infty$ limit exists that depends only on the 't Hooft coupling $\lambda = g^2 N$. An extrapolation of the masses of the lightest glueballs to $N = \infty$ using a power series in $1/N^2$ shows that the leading correction to the infinite $N$ value accounts for finite $N$ effects for $N$ at least as small as 3 and all the way down to N=2 in many cases. $k$-string tension ratios and possible issues connected with correlation functions at large $N$ are also discussed. Conference Paper/Proceeding/Abstract Few-Body Systems "36" 1-4 161 166 0177-7963 1432-5411 31 10 2004 2004-10-31 10.1007/s00601-004-0094-7 http://inspirehep.net/record/660870 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:14.0067044 2016-05-14T16:42:13.8039031 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics B. Lucini 1 Biagio Lucini 0000-0001-8974-8266 2
title The Large N Limit from the Lattice
spellingShingle The Large N Limit from the Lattice
Biagio Lucini
title_short The Large N Limit from the Lattice
title_full The Large N Limit from the Lattice
title_fullStr The Large N Limit from the Lattice
title_full_unstemmed The Large N Limit from the Lattice
title_sort The Large N Limit from the Lattice
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 B. Lucini
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_title Few-Body Systems
container_volume "36"
container_issue 1-4
container_start_page 161
publishDate 2004
institution Swansea University
issn 0177-7963
1432-5411
doi_str_mv 10.1007/s00601-004-0094-7
college_str Faculty of Science and Engineering
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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/660870
document_store_str 0
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description A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N \to \infty$ limit exists that depends only on the 't Hooft coupling $\lambda = g^2 N$. An extrapolation of the masses of the lightest glueballs to $N = \infty$ using a power series in $1/N^2$ shows that the leading correction to the infinite $N$ value accounts for finite $N$ effects for $N$ at least as small as 3 and all the way down to N=2 in many cases. $k$-string tension ratios and possible issues connected with correlation functions at large $N$ are also discussed.
published_date 2004-10-31T03:33:56Z
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score 11.03559

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