Journal article 434 views

### The exact mass-gap of the supersymmetric CPn−1 sigma model / Jonathan M. Evans, Timothy Hollowood

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

Swansea University Author:

Full text not available from this repository: check for access using links below.

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...

Full description

Published in: Physics Letters B 03702693 1994 https://cronfa.swan.ac.uk/Record/cronfa28582 No Tags, Be the first to tag this record!
first_indexed 2016-06-03T19:16:31Z 2018-02-09T05:12:53Z cronfa28582 SURis 2016-06-03T14:36:57.5511289v2285822016-06-03The exact mass-gap of the supersymmetric CPn−1 sigma modelea9ca59fc948276ff2ab547e91bdf0c20000-0002-3258-320XTimothyHollowoodTimothy Hollowoodtruefalse2016-06-03SPHA 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 CDDJournal ArticlePhysics Letters B"B343"1-41982060370269330919941994-09-3010.1016/0370-2693(94)01478-Uhttp://inspirehep.net/record/377232COLLEGE NANMEPhysicsCOLLEGE CODESPHSwansea University2016-06-03T14:36:57.55112892016-06-03T14:36:57.3015273College of SciencePhysicsJonathan M.Evans1TimothyHollowood0000-0002-3258-320X2 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 College of Science Physics Jonathan M. Evans 1 Timothy Hollowood 0000-0002-3258-320X 2 The exact mass-gap of the supersymmetric CPn−1 sigma model The exact mass-gap of the supersymmetric CPn−1 sigma model Timothy, Hollowood The exact mass-gap of the supersymmetric CPn−1 sigma model The exact mass-gap of the supersymmetric CPn−1 sigma model The exact mass-gap of the supersymmetric CPn−1 sigma model The exact mass-gap of the supersymmetric CPn−1 sigma model The exact mass-gap of the supersymmetric CPn−1 sigma model ea9ca59fc948276ff2ab547e91bdf0c2 ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy, Hollowood Timothy, Hollowood Jonathan M. Evans Timothy Hollowood Journal article Physics Letters B "B343" 1-4 198 1994 Swansea University 03702693 10.1016/0370-2693(94)01478-U College of Science collegeofscience College of Science collegeofscience College of Science Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics http://inspirehep.net/record/377232 0 0 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 1994-09-30T03:43:42Z 1711115203938091008 10.822061