Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude

Z. Bajnok; Chaiho Rim; Al Zamolodchikov

doi:10.1016/j.nuclphysb.2007.12.023

Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude

Z. Bajnok
, Chaiho Rim
, Al Zamolodchikov

Institute for Theoretical Physics

Stony Brook University

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

11 Scopus citations

Abstract

The ground state energy of the sinh-Gordon model defined on the strip is studied using the boundary thermodynamic Bethe ansatz equation. Its ultraviolet (small width of the strip) behavior is compared with the one obtained from the boundary Liouville reflection amplitude. The results are in perfect agreement in the allowable range of the parameters and provide convincing support for both approaches. We also describe how the ultraviolet limit of the effective central charge can exceed one in the parameter range when the Liouville zero mode forms a bound state.

Original language	English
Pages (from-to)	622-650
Number of pages	29
Journal	Nuclear Physics, Section B
Volume	796
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2007.12.023
State	Published - Jun 21 2008

Keywords

02.60.Nm
11.10.Kk
11.55.Ds

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10.1016/j.nuclphysb.2007.12.023

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title = "Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude",

abstract = "The ground state energy of the sinh-Gordon model defined on the strip is studied using the boundary thermodynamic Bethe ansatz equation. Its ultraviolet (small width of the strip) behavior is compared with the one obtained from the boundary Liouville reflection amplitude. The results are in perfect agreement in the allowable range of the parameters and provide convincing support for both approaches. We also describe how the ultraviolet limit of the effective central charge can exceed one in the parameter range when the Liouville zero mode forms a bound state.",

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AU - Bajnok, Z.

AU - Rim, Chaiho

AU - Zamolodchikov, Al

PY - 2008/6/21

Y1 - 2008/6/21

N2 - The ground state energy of the sinh-Gordon model defined on the strip is studied using the boundary thermodynamic Bethe ansatz equation. Its ultraviolet (small width of the strip) behavior is compared with the one obtained from the boundary Liouville reflection amplitude. The results are in perfect agreement in the allowable range of the parameters and provide convincing support for both approaches. We also describe how the ultraviolet limit of the effective central charge can exceed one in the parameter range when the Liouville zero mode forms a bound state.

AB - The ground state energy of the sinh-Gordon model defined on the strip is studied using the boundary thermodynamic Bethe ansatz equation. Its ultraviolet (small width of the strip) behavior is compared with the one obtained from the boundary Liouville reflection amplitude. The results are in perfect agreement in the allowable range of the parameters and provide convincing support for both approaches. We also describe how the ultraviolet limit of the effective central charge can exceed one in the parameter range when the Liouville zero mode forms a bound state.

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KW - 11.10.Kk

KW - 11.55.Ds

UR - https://www.scopus.com/pages/publications/40849119689

U2 - 10.1016/j.nuclphysb.2007.12.023

DO - 10.1016/j.nuclphysb.2007.12.023

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SP - 622

EP - 650

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude

Abstract

Keywords

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