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Universality of k-string tensions from holography and the lattice / Adi Armoni, Biagio Lucini

Journal of High Energy Physics, Volume: "0606", Issue: 06, Pages: 036 - 036

Swansea University Authors: Adi Armoni, Biagio Lucini

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Abstract

We consider large Wilson loops with quarks in higher representations in SU(N) Yang-Mills theories. We consider representations with common N-ality and check whether the expectation value of the Wilson loop depends on the specific representation or only on the N-ality. In the framework of AdS/CFT we...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2006
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URI: https://cronfa.swan.ac.uk/Record/cronfa27934
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spelling 2016-05-14T16:42:11.1206859 v2 27934 2016-05-14 Universality of k-string tensions from holography and the lattice 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SPH We consider large Wilson loops with quarks in higher representations in SU(N) Yang-Mills theories. We consider representations with common N-ality and check whether the expectation value of the Wilson loop depends on the specific representation or only on the N-ality. In the framework of AdS/CFT we show that <W_R> = dim R exp -sigma_k A, namely that the string tension depends only on the N-ality k but the pre-exponent factor is representation dependent. The lattice strong coupling expansion yields an identical result at infinite N, but shows a representation dependence of the string tension at finite N, a result which we interpret as an artifact. In order to confirm the representation independence of the string tension we re-analyse results of lattice simulations involving operators with common N-ality in pure SU(N) Yang-Mills theory. We find that the picture of the representation-independence of the string tension is confirmed by the spectrum of excited states in the stringy sector, while the lowest-lying states seem to depend on the representation. We argue that this unexpected result is due to the insufficient distance of the static sources for the asymptotic behaviour to be visible and give an estimate of the distance above which a truly representation-independent spectrum should be observed. Journal Article Journal of High Energy Physics "0606" 06 036 036 1029-8479 30 4 2006 2006-04-30 10.1088/1126-6708/2006/06/036 http://inspirehep.net/record/714078 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-05-14T16:42:11.1206859 2016-05-14T16:42:10.9178846 College of Science Physics Adi Armoni 0000-0002-8105-0645 1 Biagio Lucini 0000-0001-8974-8266 2
title Universality of k-string tensions from holography and the lattice
spellingShingle Universality of k-string tensions from holography and the lattice
Adi, Armoni
Biagio, Lucini
title_short Universality of k-string tensions from holography and the lattice
title_full Universality of k-string tensions from holography and the lattice
title_fullStr Universality of k-string tensions from holography and the lattice
title_full_unstemmed Universality of k-string tensions from holography and the lattice
title_sort Universality of k-string tensions from holography and the lattice
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi, Armoni
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio, Lucini
author Adi, Armoni
Biagio, Lucini
author2 Adi Armoni
Biagio Lucini
format Journal article
container_title Journal of High Energy Physics
container_volume "0606"
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container_start_page 036
publishDate 2006
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2006/06/036
college_str College of Science
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hierarchy_top_title College of Science
hierarchy_parent_id collegeofscience
hierarchy_parent_title College of Science
department_str Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics
url http://inspirehep.net/record/714078
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description We consider large Wilson loops with quarks in higher representations in SU(N) Yang-Mills theories. We consider representations with common N-ality and check whether the expectation value of the Wilson loop depends on the specific representation or only on the N-ality. In the framework of AdS/CFT we show that <W_R> = dim R exp -sigma_k A, namely that the string tension depends only on the N-ality k but the pre-exponent factor is representation dependent. The lattice strong coupling expansion yields an identical result at infinite N, but shows a representation dependence of the string tension at finite N, a result which we interpret as an artifact. In order to confirm the representation independence of the string tension we re-analyse results of lattice simulations involving operators with common N-ality in pure SU(N) Yang-Mills theory. We find that the picture of the representation-independence of the string tension is confirmed by the spectrum of excited states in the stringy sector, while the lowest-lying states seem to depend on the representation. We argue that this unexpected result is due to the insufficient distance of the static sources for the asymptotic behaviour to be visible and give an estimate of the distance above which a truly representation-independent spectrum should be observed.
published_date 2006-04-30T03:42:58Z
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score 10.823199