Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1841392 | Nuclear Physics B | 2010 | 18 Pages |
Abstract
We exactly reformulate the lattice CP(Nâ1) 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ulli Wolff,