Simulating the all-order strong coupling expansion IV: CP(N-1) as a loop model

被引:25
作者
Wolff, Ulli [1 ]
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
关键词
Lattice field theory; Monte Carlo algorithms; Spin models; MONTE-CARLO; TOPOLOGICAL CHARGE; ALGORITHMS; O(N);
D O I
10.1016/j.nuclphysb.2010.02.005
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 exactly reformulate the lattice CP(N - 1) spin model on a D-dimensional torus as a loop model whose configurations correspond to the complete set of strong coupling graphs of the original system. A Monte Carlo algorithm is described and tested that samples the loop model with its configurations stored and manipulated as a linked list. Complete absence of critical slowing down and correspondingly small errors are found at D = 2 for several observables including the mass gap. Using two different standard lattice actions universality is demonstrated in a finite size scaling study. The topological charge is identified in the loop model but not yet investigated numerically. (C) 2010 Elsevier B.V. All rights reserved.
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页码:520 / 537
页数:18
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