Virial expansion and TBA in O(N) sigma models

Abstract

We study the free energy of the 1+1 dimensional O(N) nonlinear sigma-models for even N using the TBA equations proposed recently. We give explicit formulae for the constant solution of the TBA equations (Y-system) and calculate the first two virial coefficients. The free energy is also compared to the leading large N result.

arXiv comment14 pages, LaTeX

References in corpus (3)

• Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
• Integrable sigma models and perturbed coset models
• Sigma models as perturbed conformal field theories

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