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The exact mass-gaps of the principal chiral models
Physics Letters B, Volume: "B329", Issue: 4, Pages: 450 - 456
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1016/0370-2693(94)91089-8
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...
| Published in: | Physics Letters B |
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| ISSN: | 03702693 |
| Published: |
1994
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| Online Access: |
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| 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 |
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| College: |
Faculty of Science and Engineering |
| Issue: |
4 |
| Start Page: |
450 |
| End Page: |
456 |