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The exact mass-gap of the supersymmetric O(N) sigma model / Jonathan M. Evans, Timothy Hollowood

Physics Letters B, Volume: "B343", Issue: 1-4, Pages: 189 - 197

Swansea University Author: Timothy Hollowood

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Abstract

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...

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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/cronfa28581
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Abstract: 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
College: College of Science
Issue: 1-4
Start Page: 189
End Page: 197