The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model

Details The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model

1994-09-23

arxiv.org/abs/hep-th/9409142v1

Phys.Lett. B343 (1995) 198-206

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX (macro included), CERN-TH.7426/94, SWAT/93-94/42

Scientific paper

10.1016/0370-2693(94)01478-U

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 ambiguities.

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