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

Sergei L. Lukyanov

doi:10.1016/j.nuclphysb.2011.07.028

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

Sergei L. Lukyanov

School of Arts and Sciences, New High Energy Theory Center

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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 Painlevé III equation.

Original language	English (US)
Pages (from-to)	475-507
Number of pages	33
Journal	Nuclear Physics B
Volume	853
Issue number	2
DOIs	https://doi.org/10.1016/j.nuclphysb.2011.07.028
State	Published - Dec 11 2011

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2011.07.028

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title = "Critical values of the Yang-Yang functional in the quantum sine-Gordon model",

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 Painlev{\'e} III equation.",

author = "Lukyanov, {Sergei L.}",

note = "Funding Information: This research was supported in part by DOE grant # DE-FG02-96 ER 40949 . ",

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AB - 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 Painlevé III equation.

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JO - Nuclear Physics B

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ER -

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

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