Simulating the All-Order Strong Coupling Expansion IV: CP(N-1) as a loop model

Details Simulating the All-Order Strong Coupling Expansion IV: CP(N-1) as a loop model Simulating the All-Order Strong Coupling Expansion IV: CP(N-1) as a loop model

2010-01-13

arxiv.org/abs/1001.2231v2

Nucl. Phys. B832 (2010) 520

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 4 figures. The combinatoric derivation of the (unchanged) algorithm is corrected.

Scientific paper

10.1016/j.nuclphysb.2010.02.005

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.

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