Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation

被引:54
|
作者
Boos, HE
Korepin, VE
Smimov, FA
机构
[1] Max Planck Inst Math, D-53111 Bonn, Germany
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[3] LPTHE, F-75252 Paris, France
关键词
D O I
10.1016/S0550-3213(03)00153-6
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 one-dimensional XXX spin-1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string P(n) in the antiferromagnetic ground-state. We call it emptiness formation probability (EFP). We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Knizhnik-Zamolodchikov equation (qKZ). We calculate EFP for n less than or equal to 6 for inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations and number theory. We also make a conjecture about a structure of EFP for arbitrary n. (C) 2003 Elsevier Science B.V. All rights reserved.
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页码:417 / 439
页数:23
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