Journal article 722 views
Integrable theories that are asymptotically CFT
Nuclear Physics B, Volume: "B438", Issue: 3, Pages: 469 - 490
Swansea University Author:
Timothy Hollowood
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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...
Published in: | Nuclear Physics B |
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ISSN: | 05503213 |
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1994
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URI: | https://cronfa.swan.ac.uk/Record/cronfa28583 |
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<?xml version="1.0"?><rfc1807><datestamp>2016-06-03T14:36:58.5495353</datestamp><bib-version>v2</bib-version><id>28583</id><entry>2016-06-03</entry><title>Integrable theories that are asymptotically CFT</title><swanseaauthors><author><sid>ea9ca59fc948276ff2ab547e91bdf0c2</sid><ORCID>0000-0002-3258-320X</ORCID><firstname>Timothy</firstname><surname>Hollowood</surname><name>Timothy Hollowood</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2016-06-03</date><deptcode>SPH</deptcode><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 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</abstract><type>Journal Article</type><journal>Nuclear Physics B</journal><volume>"B438"</volume><journalNumber>3</journalNumber><paginationStart>469</paginationStart><paginationEnd>490</paginationEnd><publisher/><issnPrint>05503213</issnPrint><keywords/><publishedDay>31</publishedDay><publishedMonth>7</publishedMonth><publishedYear>1994</publishedYear><publishedDate>1994-07-31</publishedDate><doi>10.1016/0550-3213(94)00473-R</doi><url>http://inspirehep.net/record/374964</url><notes/><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2016-06-03T14:36:58.5495353</lastEdited><Created>2016-06-03T14:36:58.1127325</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Jonathan M.</firstname><surname>Evans</surname><order>1</order></author><author><firstname>Timothy</firstname><surname>Hollowood</surname><orcid>0000-0002-3258-320X</orcid><order>2</order></author></authors><documents/><OutputDurs/></rfc1807> |
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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 |
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1763751482911358976 |
score |
11.021648 |