On the spectrum of the sinh-Gordon model in finite volume

被引:48
作者
Teschner, J. [1 ]
机构
[1] DESY Theory, D-22603 Hamburg, Germany
关键词
integrable QFT; sinh-Gordon model; Liouville;
D O I
10.1016/j.nuclphysb.2008.01.021
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 derive a characterization of the spectrum of the sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:403 / 429
页数:27
相关论文
共 31 条
[1]   Integrable structure of conformal field theory III. The Yang-Baxter relation [J].
Bazhanov, VV ;
Lukyanov, SL ;
Zamolodchikov, AB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 200 (02) :297-324
[2]   Integrable structure of conformal field theory, quantum KdV theory and Thermodynamic Bethe Ansatz [J].
Bazhanov, VV ;
Lukyanov, SL ;
Zamolodchikov, AB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 177 (02) :381-398
[3]   Integrable structure of conformal field theory - II. Q-operator and DDV equation [J].
Bazhanov, VV ;
Lukyanov, SL ;
Zamolodchikov, AB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 190 (02) :247-278
[4]   Quantum field theories in finite volume: Excited state energies [J].
Bazhanov, VV ;
Lukyanov, SL ;
Zamolodchikov, AB .
NUCLEAR PHYSICS B, 1997, 489 (03) :487-531
[5]   Spectral determinants for Schrodinger equation and Q-operators of conformal field theory [J].
Bazhanov, VV ;
Lukyanov, SL ;
Zamolodchikov, AB .
JOURNAL OF STATISTICAL PHYSICS, 2001, 102 (3-4) :567-576
[6]   Angular quantization and form factors in massive integrable models [J].
Brazhnikov, V ;
Lukyanov, S .
NUCLEAR PHYSICS B, 1998, 512 (03) :616-636
[7]   Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model [J].
Bytsko, Andrei G. ;
Teschner, Joerg .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (41) :12927-12981
[8]   NEW THERMODYNAMIC BETHE ANSATZ EQUATIONS WITHOUT STRINGS [J].
DESTRI, C ;
DEVEGA, HJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (16) :2313-2317
[9]   UNIFIED APPROACH TO THERMODYNAMIC BETHE-ANSATZ AND FINITE-SIZE CORRECTIONS FOR LATTICE MODELS AND FIELD-THEORIES [J].
DESTRI, C ;
DEVEGA, HJ .
NUCLEAR PHYSICS B, 1995, 438 (03) :413-454
[10]   Non-linear integral equation and excited-states scaling functions in the sine-Gordon model [J].
Destri, C ;
deVega, HJ .
NUCLEAR PHYSICS B, 1997, 504 (03) :621-664