The exact mass-gaps of the principal chiral models

Details The exact mass-gaps of the principal chiral models The exact mass-gaps of the principal chiral models

1994-02-15

arxiv.org/abs/hep-th/9402084v1

Phys.Lett. B329 (1994) 450-456

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, (macro included), CERN-TH.7164/94, SWAT/93-94/26

Scientific paper

10.1016/0370-2693(94)91089-8

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 matrix.

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