TY - JOUR

T1 - Reflection amplitudes in non-simply laced Toda theories and Thermodynamic Bethe Ansatz

AU - Ahn, Changrim

AU - Baseilhac, P.

AU - Fateev, V. A.

AU - Kim, Chanju

AU - Rim, Chaiho

N1 - Funding Information:
We thank F. Smirnov and Al. Zamolodchikov for valuable discussions. P.B. gratefully thanks for the hospitality of KIAS where part of this work was done. This work is supported in part by MOST 98-N6-01-01-A-05 (C.A.), Korea Research Foundation KRF-99-015-DI0021 (C.A.) 1998-015-D00071 (C.R.), and KOSEF 1999-2-112-001-5(C.A., C.R.). P.B.'s work is supported in part by the EU under contract ERBFMRX. V.F.'s work is supported in part by the EU under contract ERBFMRX CT960012.

PY - 2000/5/18

Y1 - 2000/5/18

N2 - We study the ultraviolet asymptotics in non-simply laced affine Toda theories considering them as perturbed non-affine Toda theories, which possess the extended conformal symmetry. We calculate the reflection amplitudes, in non-affine Toda theories and use them to derive the quantization condition for the vacuum wave function, describing zero-mode dynamics. The solution of this quantization conditions for the ground state energy determines the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with Thermodynamic Bethe Ansatz (TBA) results. To make the comparison with TBA possible, we give the exact relations between parameters of the action and masses of particles as well as the bulk free energies for non-simply laced affine Toda theories. (C) 2000 Elsevier Science B.V.

AB - We study the ultraviolet asymptotics in non-simply laced affine Toda theories considering them as perturbed non-affine Toda theories, which possess the extended conformal symmetry. We calculate the reflection amplitudes, in non-affine Toda theories and use them to derive the quantization condition for the vacuum wave function, describing zero-mode dynamics. The solution of this quantization conditions for the ground state energy determines the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with Thermodynamic Bethe Ansatz (TBA) results. To make the comparison with TBA possible, we give the exact relations between parameters of the action and masses of particles as well as the bulk free energies for non-simply laced affine Toda theories. (C) 2000 Elsevier Science B.V.

UR - http://www.scopus.com/inward/record.url?scp=0034682193&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(00)00417-2

DO - 10.1016/S0370-2693(00)00417-2

M3 - Article

AN - SCOPUS:0034682193

SN - 0370-2693

VL - 481

SP - 114

EP - 124

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1

ER -