Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz

Changrim Ahn; V. A. Fateev; Chanju Kim; Chaiho Rim; Yang Bedl

doi:10.1016/S0550-3213(99)00705-1

Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz

Changrim Ahn, V. A. Fateev, Chanju Kim, Chaiho Rim, Yang Bedl

Department of Physics

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

18 Scopus citations

Abstract

We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.

Original language	English
Pages (from-to)	611-628
Number of pages	18
Journal	Nuclear Physics, Section B
Volume	565
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(99)00705-1
State	Published - 24 Jan 2000

Bibliographical note

Funding Information:
We thank F. Smirnov and Al. Zamolodchikov for valuable discussions. CA thanks Freie Univ. in Berlin and Univ. Montpellier II for hospitality. This work is supported in part by Alexander von Humboldt foundation and MOST 98-N6-01-01-A-05 (C.A.), Korea Research Foundation 1998-015-D00071 (C.R.), and KOSEF 1999-2-112-001-5 (C.A., C.R.). V.F.'s work is supported in part by the EU under contract ERBFMRX CT960012.

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title = "Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz",

abstract = "We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.",

author = "Changrim Ahn and Fateev, {V. A.} and Chanju Kim and Chaiho Rim and Yang Bedl",

note = "Funding Information: We thank F. Smirnov and Al. Zamolodchikov for valuable discussions. CA thanks Freie Univ. in Berlin and Univ. Montpellier II for hospitality. This work is supported in part by Alexander von Humboldt foundation and MOST 98-N6-01-01-A-05 (C.A.), Korea Research Foundation 1998-015-D00071 (C.R.), and KOSEF 1999-2-112-001-5 (C.A., C.R.). V.F.'s work is supported in part by the EU under contract ERBFMRX CT960012. ",

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T1 - Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz

AU - Ahn, Changrim

AU - Fateev, V. A.

AU - Kim, Chanju

AU - Rim, Chaiho

AU - Bedl, Yang

N1 - Funding Information: We thank F. Smirnov and Al. Zamolodchikov for valuable discussions. CA thanks Freie Univ. in Berlin and Univ. Montpellier II for hospitality. This work is supported in part by Alexander von Humboldt foundation and MOST 98-N6-01-01-A-05 (C.A.), Korea Research Foundation 1998-015-D00071 (C.R.), and KOSEF 1999-2-112-001-5 (C.A., C.R.). V.F.'s work is supported in part by the EU under contract ERBFMRX CT960012.

PY - 2000/1/24

Y1 - 2000/1/24

N2 - We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.

AB - We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.

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U2 - 10.1016/S0550-3213(99)00705-1

DO - 10.1016/S0550-3213(99)00705-1

M3 - Article

AN - SCOPUS:0034707482

SN - 0550-3213

VL - 565

SP - 611

EP - 628

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz

Abstract

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