English

Thermodynamical Bethe Ansatz analysis in an SU(2)xU(1) symmetric sigma-model

High Energy Physics - Theory 2009-10-31 v2

Abstract

Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral sigma-model (with SU(2)xU(1) symmetry). The model exhibits both `fermionic' and `bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Lambda parameters of the modified minimal substraction scheme and a lattice regularized version of the model.

Keywords

Cite

@article{arxiv.hep-th/9906007,
  title  = {Thermodynamical Bethe Ansatz analysis in an SU(2)xU(1) symmetric sigma-model},
  author = {Janos Balog and Peter Forgacs},
  journal= {arXiv preprint arXiv:hep-th/9906007},
  year   = {2009}
}

Comments

31 pages, Latex, minor changes, references added