The lattice β-function of quantum spin chains

被引：3
|
作者：
Crompton, P. R. [1 ]
机构：
[1] Univ Hamburg, Inst Theoret Phys 1, D-20355 Hamburg, Germany
[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2006年
关键词：
sigma models (theory); spin chains; ladders and planes (theory);
D O I：
10.1088/1742-5468/2006/12/L12002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We derive the lattice beta-function for quantum spin chains, suitable for relating finite temperature Monte Carlo data to the zero-temperature fixed points of the continuum nonlinear sigma model. Our main result is that the asymptotic freedom of this lattice beta-function is responsible for the nonintegrable singularity in theta that prevents analytic continuation between theta=0 and theta=pi.
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页数：9
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