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The exact mass-gaps of the principal chiral models
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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| Lenguaje: | eng |
| Publicado: |
1994
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| Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(94)91089-8 http://cds.cern.ch/record/259075 |
| _version_ | 1780886025622519808 |
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| author | Hollowood, Timothy J |
| author_facet | Hollowood, Timothy J |
| author_sort | Hollowood, Timothy J |
| collection | CERN |
| description | 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. |
| id | cern-259075 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1994 |
| record_format | invenio |
| spelling | cern-2590752019-09-30T06:29:59Zdoi:10.1016/0370-2693(94)91089-8http://cds.cern.ch/record/259075engHollowood, Timothy JThe exact mass-gaps of the principal chiral modelsGeneral Theoretical PhysicsAn 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.hep-th/9402084CERN-TH-7164-94SWAT-26oai:cds.cern.ch:2590751994 |
| spellingShingle | General Theoretical Physics Hollowood, Timothy J The exact mass-gaps of the principal chiral models |
| title | The exact mass-gaps of the principal chiral models |
| title_full | The exact mass-gaps of the principal chiral models |
| title_fullStr | The exact mass-gaps of the principal chiral models |
| title_full_unstemmed | The exact mass-gaps of the principal chiral models |
| title_short | The exact mass-gaps of the principal chiral models |
| title_sort | exact mass-gaps of the principal chiral models |
| topic | General Theoretical Physics |
| url | https://dx.doi.org/10.1016/0370-2693(94)91089-8 http://cds.cern.ch/record/259075 |
| work_keys_str_mv | AT hollowoodtimothyj theexactmassgapsoftheprincipalchiralmodels AT hollowoodtimothyj exactmassgapsoftheprincipalchiralmodels |