Finite temperature expectation values of local fields in the sinh-Gordon model

Sergei Lukyanov

doi:10.1016/S0550-3213(01)00365-0

Finite temperature expectation values of local fields in the sinh-Gordon model

Sergei Lukyanov

School of Arts and Sciences, New High Energy Theory Center

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

50 Scopus citations

Abstract

Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.

Original language	English (US)
Pages (from-to)	391-412
Number of pages	22
Journal	Nuclear Physics B
Volume	612
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(01)00365-0
State	Published - Oct 1 2001

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Finite temperature expectation values
Integrable quantum field theory
Method of separation of variables
Sinh-Gordon model

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10.1016/S0550-3213(01)00365-0

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abstract = "Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.",

keywords = "Finite temperature expectation values, Integrable quantum field theory, Method of separation of variables, Sinh-Gordon model",

author = "Sergei Lukyanov",

note = "Funding Information: I am grateful to A.B. Zamolodchikov for interesting discussions. The research is supported in part by the DOE grant \#DE-FG05-90ER40559. ",

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N1 - Funding Information: I am grateful to A.B. Zamolodchikov for interesting discussions. The research is supported in part by the DOE grant #DE-FG05-90ER40559.

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N2 - Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.

AB - Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.

KW - Finite temperature expectation values

KW - Integrable quantum field theory

KW - Method of separation of variables

KW - Sinh-Gordon model

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EP - 412

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Finite temperature expectation values of local fields in the sinh-Gordon model

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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