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The exact mass-gaps of the principal chiral models / Timothy Hollowood

Physics Letters B, Volume: "B329", Issue: 4, Pages: 450 - 456

Swansea University Author: Timothy, Hollowood

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Abstract

An exact expression for the mass-gap, the ratio of the physical particle mass to the $\Lambda$-parameter, is found for the principal chiral sigma models associated to all the classical Lie algebras. The calculation is based on a comparison of the free-energy in the presence of a source coupling to a...

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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/cronfa28584
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Abstract: An exact expression for the mass-gap, the ratio of the physical particle mass to the $\Lambda$-parameter, is found for the principal chiral sigma models associated to all the classical Lie algebras. The calculation is based on a comparison of the free-energy in the presence of a source coupling to a conserved charge of the theory computed in two ways: via the thermodynamic Bethe Ansatz from the exact scattering matrix and directly in perturbation theory. The calculation provides a non-trivial test of the form of the exact scattering
College: College of Science
Issue: 4
Start Page: 450
End Page: 456