English

Virial expansion and TBA in O(N) sigma models

High Energy Physics - Theory 2009-11-07 v1

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.

Cite

@article{arxiv.hep-th/0108071,
  title  = {Virial expansion and TBA in O(N) sigma models},
  author = {J. Balog and A. Hegedus},
  journal= {arXiv preprint arXiv:hep-th/0108071},
  year   = {2009}
}

Comments

14 pages, LaTeX