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Integrable theories that are asymptotically CFT

Jonathan M. Evans, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B438", Issue: 3, Pages: 469 - 490

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/0550-3213(94)00473-R

Abstract

A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar situation of asymptotically free theories in which the fixe...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1994
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URI: https://cronfa.swan.ac.uk/Record/cronfa28583
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first_indexed 2016-06-03T19:16:31Z
last_indexed 2018-02-09T05:12:53Z
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spelling 2016-06-03T14:36:58.5495353 v2 28583 2016-06-03 Integrable theories that are asymptotically CFT ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar situation of asymptotically free theories in which the fixed points are trivial, the sigma models considered here may be termed ``asymptotically CFT''. These theories have previously been conjectured to be quantum integrable; we confirm this by proposing a factorizable S-matrix to describe their infra-red behaviour and then carrying out a stringent test of this proposal. The test involves coupling the theory to a conserved charge and evaluating the response of the free-energy both in perturbation theory to one loop and directly from the S-matrix via the Thermodynamic Bethe Ansatz with a chemical potential at zero temperature. Comparison of these results provides convincing evidence in favour of the proposed S-matrix; it also yields the universal coefficients of the beta-function and allows for an evaluation of the mass gap (the ratio of the physical mass to the $\Lambda$-parameter) to leading order in Journal Article Nuclear Physics B "B438" 3 469 490 05503213 31 7 1994 1994-07-31 10.1016/0550-3213(94)00473-R http://inspirehep.net/record/374964 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:58.5495353 2016-06-03T14:36:58.1127325 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Jonathan M. Evans 1 Timothy Hollowood 0000-0002-3258-320X 2
title Integrable theories that are asymptotically CFT
spellingShingle Integrable theories that are asymptotically CFT
Timothy Hollowood
title_short Integrable theories that are asymptotically CFT
title_full Integrable theories that are asymptotically CFT
title_fullStr Integrable theories that are asymptotically CFT
title_full_unstemmed Integrable theories that are asymptotically CFT
title_sort Integrable theories that are asymptotically CFT
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Jonathan M. Evans
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B438"
container_issue 3
container_start_page 469
publishDate 1994
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(94)00473-R
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/374964
document_store_str 0
active_str 0
description A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar situation of asymptotically free theories in which the fixed points are trivial, the sigma models considered here may be termed ``asymptotically CFT''. These theories have previously been conjectured to be quantum integrable; we confirm this by proposing a factorizable S-matrix to describe their infra-red behaviour and then carrying out a stringent test of this proposal. The test involves coupling the theory to a conserved charge and evaluating the response of the free-energy both in perturbation theory to one loop and directly from the S-matrix via the Thermodynamic Bethe Ansatz with a chemical potential at zero temperature. Comparison of these results provides convincing evidence in favour of the proposed S-matrix; it also yields the universal coefficients of the beta-function and allows for an evaluation of the mass gap (the ratio of the physical mass to the $\Lambda$-parameter) to leading order in
published_date 1994-07-31T03:34:49Z
_version_ 1763751482911358976
score 11.036706

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