English

Critical values of the Yang-Yang functional in the quantum sine-Gordon model

High Energy Physics - Theory 2011-09-13 v2

Abstract

The critical values of the Yang-Yang functional corresponding to the vacuum states of the sine-Gordon QFT in the finite-volume are studied. Two major applications are discussed: (i) generalization of Fendley-Saleur-Zamolodchikov relations to arbitrary values of the sine-Gordon coupling constant, and (ii) connection problem for a certain two-parameter family of solutions of the Painleve III equation.

Keywords

Cite

@article{arxiv.1105.2836,
  title  = {Critical values of the Yang-Yang functional in the quantum sine-Gordon model},
  author = {Sergei Lukyanov},
  journal= {arXiv preprint arXiv:1105.2836},
  year   = {2011}
}

Comments

36 pages, 7 figures