Critical loop gases and the worm algorithm

Janke, W.; Schakel, A.M.J.; Neuhaus, T.

doi:10.1016/j.nuclphysb.2009.12.024

Journal Article

PreJuSER-7547

Critical loop gases and the worm algorithm

Janke, W. ; Neuhaus, T.FZJ* ; Schakel, A. M. J.

2010
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / B 829, 573 - 599 (2010) [10.1016/j.nuclphysb.2009.12.024]

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Please use a persistent id in citations: http://hdl.handle.net/2128/21259 doi:10.1016/j.nuclphysb.2009.12.024

Abstract: The loop gas approach to lattice field theory provides an alternative, geometrical description in terms of fluctuating loops. Statistical ensembles of random loops can be efficiently generated by Monte Carlo simulations using the worm update algorithm. In this paper, concepts from percolation theory and the theory of self-avoiding random walks are used to describe estimators of physical observables that utilize the nature of the worm algorithm. The fractal structure of the random loops as well as their scaling properties are studied. To Support this approach, the O(1) loop model, or high-temperature series expansion of the Ising model, is simulated on a honeycomb lattice, with its known exact results providing valuable benchmarks. (C) 2009 Elsevier B.V. All rights reserved.

Keyword(s): J ; Loop gas (auto) ; Monte Carlo (auto) ; Worm update algorithm (auto) ; Fractal structure (auto) ; Critical properties (auto) ; Duality (auto)

Classification:

Physics, Particles & Fields

Note: Work supported in part by the Deutsche Forschungsgemeinschaft (DFG) under grant No. JA483/23-2 and the EU RTN-Network 'ENRAGE': "Random Geometry and Random Matrices: From Quantum Gravity to Econophysics" under grant No. MRTN-CT-2004-005616.

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