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Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices

Calan Appadu, Timothy Hollowood Orcid Logo, Dafydd Price, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2017, Issue: 9

Swansea University Authors: Timothy Hollowood Orcid Logo, Daniel Thompson Orcid Logo

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DOI (Published version): 10.1007/JHEP09(2017)035

Abstract

Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit c...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa35934
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first_indexed 2017-10-04T19:52:36Z
last_indexed 2020-07-14T18:56:34Z
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spelling 2020-07-14T14:00:28.8704357 v2 35934 2017-10-04 Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2017-10-04 SPH Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit cyclic RG behaviour. The associated affine quantum group symmetry, realised classically at the Poisson bracket level, has q a complex phase in the UV safe regime and q real in the cyclic RG regime, where q is an RG invariant. Based on the symmetries and RG flow we propose exact factorisable S-matrices to describe the scattering of states in the lambda models, from which the sigma models follow by taking a limit and non-abelian T-duality. In the cyclic RG regimes, the S-matrices are periodic functions of rapidity, at large rapidity, and in the Yang-Baxter case violate parity. Journal Article Journal of High Energy Physics 2017 9 1029-8479 Integrable Field Theories; Quantum Groups; Sigma Models 8 9 2017 2017-09-08 10.1007/JHEP09(2017)035 https://link.springer.com/article/10.1007%2FJHEP09%282017%29035 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-14T14:00:28.8704357 2017-10-04T17:48:41.3306740 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Calan Appadu 1 Timothy Hollowood 0000-0002-3258-320X 2 Dafydd Price 3 Daniel Thompson 0000-0001-8319-8275 4 0035934-07112017102250.pdf 36030v2.pdf 2017-11-07T10:22:50.3370000 Output 884936 application/pdf Version of Record true 2017-11-07T00:00:00.0000000 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 true eng
title Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
spellingShingle Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
Timothy Hollowood
Daniel Thompson
title_short Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
title_full Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
title_fullStr Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
title_full_unstemmed Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
title_sort Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Timothy Hollowood
Daniel Thompson
author2 Calan Appadu
Timothy Hollowood
Dafydd Price
Daniel Thompson
format Journal article
container_title Journal of High Energy Physics
container_volume 2017
container_issue 9
publishDate 2017
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP09(2017)035
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 https://link.springer.com/article/10.1007%2FJHEP09%282017%29035
document_store_str 1
active_str 0
description Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit cyclic RG behaviour. The associated affine quantum group symmetry, realised classically at the Poisson bracket level, has q a complex phase in the UV safe regime and q real in the cyclic RG regime, where q is an RG invariant. Based on the symmetries and RG flow we propose exact factorisable S-matrices to describe the scattering of states in the lambda models, from which the sigma models follow by taking a limit and non-abelian T-duality. In the cyclic RG regimes, the S-matrices are periodic functions of rapidity, at large rapidity, and in the Yang-Baxter case violate parity.
published_date 2017-09-08T03:44:51Z
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score 11.013148

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