Winding vacuum energies in a deformed O(4) sigma model

Vladimir V. Bazhanov; Gleb A. Kotousov; Sergei L. Lukyanov

doi:10.1016/j.nuclphysb.2014.11.005

Winding vacuum energies in a deformed O(4) sigma model

Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov^*

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation.

Original language	English
Pages (from-to)	817-826
Number of pages	10
Journal	Nuclear Physics B
Volume	889
DOIs	https://doi.org/10.1016/j.nuclphysb.2014.11.005
Publication status	Published - 1 Dec 2014

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abstract = "We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation.",

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AU - Bazhanov, Vladimir V.

AU - Kotousov, Gleb A.

AU - Lukyanov, Sergei L.

PY - 2014/12/1

Y1 - 2014/12/1

N2 - We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation.

AB - We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation.

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DO - 10.1016/j.nuclphysb.2014.11.005

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SN - 0550-3213

VL - 889

SP - 817

EP - 826

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -

Winding vacuum energies in a deformed O(4) sigma model

Abstract

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