DIFFERENTIAL-EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG CHAIN

被引:7
作者
FRAHM, H
ITS, AR
KOREPIN, VE
机构
[1] INDIANA UNIV PURDUE UNIV, DEPT MATH SCI, INDIANAPOLIS, IN 46202 USA
[2] SUNY STONY BROOK, INST THEORET PHYS, STONY BROOK, NY 11794 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(94)90370-0
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 consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a tau-function of this system.
引用
收藏
页码:694 / 710
页数:17
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