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The exact mass-gap of the supersymmetric CPn−1 sigma model

Jonathan M. Evans, Timothy Hollowood Orcid Logo

Physics Letters B, Volume: "B343", Issue: 1-4, Pages: 198 - 206

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/0370-2693(94)01478-U

Abstract

A formula for the mass-gap of the supersymmetric $\CP~{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expre...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1994
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28582
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first_indexed 2016-06-03T19:16:31Z
last_indexed 2018-02-09T05:12:53Z
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spelling 2016-06-03T14:36:57.5511289 v2 28582 2016-06-03 The exact mass-gap of the supersymmetric CPn−1 sigma model ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH A formula for the mass-gap of the supersymmetric $\CP~{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of K\"oberle and Kurak via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD Journal Article Physics Letters B "B343" 1-4 198 206 03702693 30 9 1994 1994-09-30 10.1016/0370-2693(94)01478-U http://inspirehep.net/record/377232 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:57.5511289 2016-06-03T14:36:57.3015273 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Jonathan M. Evans 1 Timothy Hollowood 0000-0002-3258-320X 2
title The exact mass-gap of the supersymmetric CPn−1 sigma model
spellingShingle The exact mass-gap of the supersymmetric CPn−1 sigma model
Timothy Hollowood
title_short The exact mass-gap of the supersymmetric CPn−1 sigma model
title_full The exact mass-gap of the supersymmetric CPn−1 sigma model
title_fullStr The exact mass-gap of the supersymmetric CPn−1 sigma model
title_full_unstemmed The exact mass-gap of the supersymmetric CPn−1 sigma model
title_sort The exact mass-gap of the supersymmetric CPn−1 sigma model
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 Physics Letters B
container_volume "B343"
container_issue 1-4
container_start_page 198
publishDate 1994
institution Swansea University
issn 03702693
doi_str_mv 10.1016/0370-2693(94)01478-U
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/377232
document_store_str 0
active_str 0
description A formula for the mass-gap of the supersymmetric $\CP~{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of K\"oberle and Kurak via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD
published_date 1994-09-30T03:34:49Z
_version_ 1763751482789724160
score 11.01353

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