Exact expectation values of local fields in the quantum sine-Gordon model

Sergei Lukyanov; Alexander Zamolodchikov

doi:10.1016/S0550-3213(97)00123-5

Exact expectation values of local fields in the quantum sine-Gordon model

Sergei Lukyanov
, Alexander Zamolodchikov

Institute for Theoretical Physics

Cornell University
Landau Inst. for Theoretical Physics

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

338 Scopus citations

Abstract

We propose an explicit expression for vacuum expectation values (e^iaφ) of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

Original language	English
Pages (from-to)	571-587
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	493
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(97)00123-5
State	Published - Jun 2 1997

Keywords

Conformal perturbation theory
Integrable quantum field theory
Sine-Gordon model

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10.1016/S0550-3213(97)00123-5

Cite this

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abstract = "We propose an explicit expression for vacuum expectation values (eiaφ) of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.",

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AU - Zamolodchikov, Alexander

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N2 - We propose an explicit expression for vacuum expectation values (eiaφ) of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

AB - We propose an explicit expression for vacuum expectation values (eiaφ) of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

KW - Conformal perturbation theory

KW - Integrable quantum field theory

KW - Sine-Gordon model

UR - https://www.scopus.com/pages/publications/0031548107

U2 - 10.1016/S0550-3213(97)00123-5

DO - 10.1016/S0550-3213(97)00123-5

M3 - Article

AN - SCOPUS:0031548107

SN - 0550-3213

VL - 493

SP - 571

EP - 587

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Exact expectation values of local fields in the quantum sine-Gordon model

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Keywords

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