Reflection amplitudes of ADE Toda theories and thermodynamic Bethe ansatz

被引:20
作者
Ahn, C [1 ]
Fateev, VA
Kim, C
Rim, C
Yang, B
机构
[1] Ewha Womans Univ, Dept Phys, Seoul 120750, South Korea
[2] Univ Montpellier 2, Phys Math Lab, F-34095 Montpellier, France
[3] LD Landau Theoret Phys Inst, Moscow 117334, Russia
[4] Korea Inst Adv Study, Sch Phys, Seoul 130012, South Korea
[5] Chonbuk Natl Univ, Dept Phys, Chonju 561756, South Korea
基金
新加坡国家研究基金会;
关键词
D O I
10.1016/S0550-3213(99)00705-1
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:611 / 628
页数:18
相关论文
共 22 条
[11]   INTEGRABLE DEFORMATIONS OF THE O(3) SIGMA-MODEL - THE SAUSAGE MODEL [J].
FATEEV, VA ;
ONOFRI, E ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1993, 406 (03) :521-565
[12]   The ultraviolet behaviour of integrable quantum field theories, affine Toda field theory [J].
Fring, A ;
Korff, C ;
Schulz, BJ .
NUCLEAR PHYSICS B, 1999, 549 (03) :579-612
[13]  
Humphreys J E, 1972, INTRO LIE ALGEBRAS R, DOI DOI 10.1007/978-1-4612-6398-2
[14]   EXACT RESONANCE ADE S-MATRICES AND THEIR RENORMALIZATION-GROUP TRAJECTORIES [J].
MARTINS, MJ .
NUCLEAR PHYSICS B, 1993, 394 (02) :339-355
[15]   QUANTUM INTEGRABLE SYSTEMS RELATED TO LIE-ALGEBRAS [J].
OLSHANETSKY, MA ;
PERELOMOV, AM .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1983, 94 (06) :313-404
[16]  
SKLYANIN EK, 1985, LECT NOTES PHYS, V226, P196
[17]  
SKLYANIN EK, 1984, 8434 LPTHE
[18]   Conformal bootstrap in Liouville field theory [J].
Zamolodchikov, A ;
Zamolodchikov, A .
NUCLEAR PHYSICS B, 1996, 477 (02) :577-605
[19]   INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T=TC ISING-MODEL WITH MAGNETIC-FIELD [J].
ZAMOLODCHIKOV, AB .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (16) :4235-4248
[20]   THERMODYNAMIC BETHE ANSATZ IN RELATIVISTIC MODELS - SCALING 3-STATE POTTS AND LEE-YANG MODELS [J].
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1990, 342 (03) :695-720