The exact mass-gap of the supersymmetric O(N) sigma model

A formula for the mass-gap of the supersymmetric O(N) sigma model (N>4) in two dimensions is derived: m/\Lambda_{\overline{\rm MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta), where \Delta=1/(N-2) and m is the mass of the fundamental vector particle in the theory. This result is obtained by comparing...

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Detalles Bibliográficos
Autores principales: Evans, Jonathan M., Hollowood, Timothy J.
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)01477-T
http://cds.cern.ch/record/269235
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author Evans, Jonathan M.
Hollowood, Timothy J.
author_facet Evans, Jonathan M.
Hollowood, Timothy J.
author_sort Evans, Jonathan M.
collection CERN
description A formula for the mass-gap of the supersymmetric O(N) sigma model (N>4) in two dimensions is derived: m/\Lambda_{\overline{\rm MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta), where \Delta=1/(N-2) and m is the mass of the fundamental vector particle in the theory. 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 Shankar and Witten via the 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 ambiguities.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1994
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spelling cern-2692352023-03-14T16:36:01Zdoi:10.1016/0370-2693(94)01477-Thttp://cds.cern.ch/record/269235engEvans, Jonathan M.Hollowood, Timothy J.The exact mass-gap of the supersymmetric O(N) sigma modelGeneral Theoretical PhysicsA formula for the mass-gap of the supersymmetric O(N) sigma model (N>4) in two dimensions is derived: m/\Lambda_{\overline{\rm MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta), where \Delta=1/(N-2) and m is the mass of the fundamental vector particle in the theory. 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 Shankar and Witten via the 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 ambiguities.A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=2~{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is the mass of the fundamental vector particle in the theory. 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 Shankar and Witten via the 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 ambiguities.A formula for the mass-gap of the supersymmetric O( N ) sigma model ( N > 4) in two dimensions is derived: m Λ MS =2 2Δ sin (πΔ) (πΔ) , where Δ = 1 (N−2) and m is the mass of the fundamental vector particle in the theory. 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 Shankar and Witten via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations a provide a stringent test of the S-maxtrix, showing that it correctly reproduces the universal part of the beta-functional and resolving the problem of CDD ambiguities.hep-th/9409141CERN-TH-7425-94SWAT-93-94-39CERN-TH-7425-94SWAT-39oai:cds.cern.ch:2692351994-09-23
spellingShingle General Theoretical Physics
Evans, Jonathan M.
Hollowood, Timothy J.
The exact mass-gap of the supersymmetric O(N) sigma model
title The exact mass-gap of the supersymmetric O(N) sigma model
title_full The exact mass-gap of the supersymmetric O(N) sigma model
title_fullStr The exact mass-gap of the supersymmetric O(N) sigma model
title_full_unstemmed The exact mass-gap of the supersymmetric O(N) sigma model
title_short The exact mass-gap of the supersymmetric O(N) sigma model
title_sort exact mass-gap of the supersymmetric o(n) sigma model
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(94)01477-T
http://cds.cern.ch/record/269235
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