Quantum KZ equation with vertical bar q vertical bar=1 and correlation functions of the XXZ model in the gapless regime

被引:210
作者
Jimbo, M [1 ]
Miwa, T [1 ]
机构
[1] KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 12期
关键词
D O I
10.1088/0305-4470/29/12/005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An integral solution to the quantum Knizhnik-Zamolodchikov (qKZ) equation with \q\ = 1 is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ model in the gapless regime. The validity of this conjecture is verified in special cases, including the nearest-neighbour correlator with an arbitrary coupling constant and general correlators in the XXX and XY limits.
引用
收藏
页码:2923 / 2958
页数:36
相关论文
共 21 条
[1]   CRITICAL CORRELATIONS IN A Z-INVARIANT INHOMOGENEOUS ISING-MODEL [J].
AUYANG, H ;
PERK, JHH .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1987, 144 (01) :44-104
[2]  
Barnes E., 1904, T CAMBRIDGE PHILOS S, V19, P374
[4]   SOLVABLE 8-VERTEX MODEL ON AN ARBITRARY PLANAR LATTICE [J].
BAXTER, RJ .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 289 (1359) :315-346
[5]  
Baxter RJ., 1982, Exactly solved models in statistical mechanics
[6]   DIAGONALIZATION OF THE XXZ HAMILTONIAN BY VERTEX OPERATORS [J].
DAVIES, B ;
FODA, O ;
JIMBO, M ;
MIWA, T ;
NAKAYASHIKI, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 151 (01) :89-153
[7]   AN ELLIPTIC QUANTUM ALGEBRA FOR (SL)CAP(2) [J].
FODA, O ;
IOHARA, K ;
JIMBO, M ;
KEDEM, R ;
MIWA, T ;
YAN, H .
LETTERS IN MATHEMATICAL PHYSICS, 1994, 32 (03) :259-268
[8]  
Foda O., 1995, PROGR THEORET PHYS S, V118, P1
[9]   DIFFERENCE-EQUATIONS FOR THE CORRELATION-FUNCTIONS OF THE 8-VERTEX MODEL [J].
JIMBO, M ;
MIWA, T ;
NAKAYASHIKI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (09) :2199-2209
[10]   CORRELATION-FUNCTIONS OF THE XXZ MODEL FOR DELTA-LESS-THAN-1 [J].
JIMBO, M ;
MIKI, K ;
MIWA, T ;
NAKAYASHIKI, A .
PHYSICS LETTERS A, 1992, 168 (04) :256-263