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### 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:

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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 03702693 1994 https://cronfa.swan.ac.uk/Record/cronfa28582 No Tags, Be the first to tag this record!
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 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 College of Science 1-4 198 206