Critical values of the Yang-Yang functional in the quantum sine-Gordon model
arXiv:1105.2836 · doi:10.1016/j.nuclphysb.2011.07.028
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.
36 pages, 7 figures
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