The Exact mass gaps of the principal chiral models
Feb, 19949 pages
Published in:
- Phys.Lett.B 329 (1994) 450-456
e-Print:
- hep-th/9402084 [hep-th]
Report number:
- CERN-TH-7164-94,
- SWAT-93-94-26
Citations per year
Abstract:
An exact expression for the mass-gap, the ratio of the physical particle mass to the -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.- model: chiral
- algebra: Lie
- S-matrix
- energy
- mass spectrum
- perturbation theory: higher-order
- Bethe ansatz
- field theory: Lambda parameter
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