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arXiv · 1105.2836

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

Sergei Lukyanov
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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.

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Sergei Lukyanov. 2011-06-27. Critical values of the Yang-Yang functional in the quantum sine-Gordon model. https://doi.org/10.1016/j.nuclphysb.2011.07.028

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