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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.
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B. B. Beard, M. Pepe, S. Riederer, U. J. Wiese, Study of CP(N-1) Theta-vacua by cluster-simulation of SU(N) quantum spin ladders, Phys. Rev. Lett. 94 (2005) 010603
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B. B. Beard, M. Pepe, S. Riederer, U. J. Wiese, Efficient cluster algorithm for CP(N-1) models, Comput. Phys. Commun. 175 (2006) 629
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U. Wolff, Precision check on triviality of ϕ 4 \phi^{4} theory by a new simulation method, Phys. Rev. D79 (2009) 105002
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M. Hasenbusch, S. Meyer, Does the topological charge scale in the lattice CP(3) model?, Phys. Lett. B299 (1993) 293
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N. Prokof’ev, B. Svistunov, Worm Algorithms for Classical Statistical Models, Phys. Rev. Lett. 87 (16) (2001) 160601
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W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing, Cambridge Univ. Press, Cambridge
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U. Wolff, Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models, Nucl. Phys. B824 (2010) 254, Erratum in preparation, arXiv: 0908.0284v3
2010
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W. Janke, T. Neuhaus, A. M. J. Schakel, Critical Loop Gases and the Worm Algorithm, Nucl. Phys. B829 (2010) 573
2010
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