Quantum sine(h)-Gordon model and classical integrable equations

S. L. Lukyanov; A. B. Zamolodchikov

doi:10.1007/JHEP07(2010)008

Quantum sine(h)-Gordon model and classical integrable equations

S. L. Lukyanov
, A. B. Zamolodchikov

Institute for Theoretical Physics

Rutgers - The State University of New Jersey, New Brunswick
Landau Inst. for Theoretical Physics

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

56 Scopus citations

Abstract

We study a family of classical solutions of modified sinh-Gordon equation, ∂_z∂_z^̄η - e^2η + p(z) p(z̄) e^-2η = 0 with p(z) = z^2α - s^2α. We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon (α > 0) or sinh-Gordon (α < - 1) models.

Original language	English
Article number	8
Journal	Journal of High Energy Physics
Volume	2010
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2010)008
State	Published - 2010

Keywords

Bethe ansatz
Field theories in lower dimensions
Integrable equations in physics
Integrable field theories

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10.1007/JHEP07(2010)008

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title = "Quantum sine(h)-Gordon model and classical integrable equations",

abstract = "We study a family of classical solutions of modified sinh-Gordon equation, ∂z∂{\=z}η - e2η + p(z) p({\=z}) e-2η = 0 with p(z) = z2α - s2α. We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon (α > 0) or sinh-Gordon (α < - 1) models.",

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AU - Lukyanov, S. L.

AU - Zamolodchikov, A. B.

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N2 - We study a family of classical solutions of modified sinh-Gordon equation, ∂z∂z̄η - e2η + p(z) p(z̄) e-2η = 0 with p(z) = z2α - s2α. We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon (α > 0) or sinh-Gordon (α < - 1) models.

AB - We study a family of classical solutions of modified sinh-Gordon equation, ∂z∂z̄η - e2η + p(z) p(z̄) e-2η = 0 with p(z) = z2α - s2α. We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon (α > 0) or sinh-Gordon (α < - 1) models.

KW - Bethe ansatz

KW - Field theories in lower dimensions

KW - Integrable equations in physics

KW - Integrable field theories

UR - https://www.scopus.com/pages/publications/77954964686

U2 - 10.1007/JHEP07(2010)008

DO - 10.1007/JHEP07(2010)008

M3 - Article

AN - SCOPUS:77954964686

SN - 1126-6708

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 8

ER -

Quantum sine(h)-Gordon model and classical integrable equations

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Keywords

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