TBA and tree expansion

Autor: Kostov, Ivan, Serban, Didina, Vu, Dinh-Long
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: We propose an alternative, statistical, derivation of the Thermodynamic Bethe Ansatz based on the tree expansion of the Gaudin determinant. We illustrate the method on the simplest example of a theory with diagonal scattering and no bound states. We reproduce the expression for the free energy density and the finite size corrections to the energy of an excited state as well as the LeClair-Mussardo series for the one-point function for local operators.
Comment: 16 pages, 7 figures, based on the contribution of I.K. to the conference "Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics" (LT12), 19-25 June 2017, Varna. Note and references added in v2
Databáze: arXiv