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

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

2011-05-13

arxiv.org/abs/1105.2836v2

Nucl.Phys.B853:475-507,2011

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2011.07.028

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.

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