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000007547 084__ $$2WoS$$aPhysics, Particles & Fields
000007547 1001_ $$0P:(DE-HGF)0$$aJanke, W.$$b0
000007547 245__ $$aCritical loop gases and the worm algorithm
000007547 260__ $$aAmsterdam$$bNorth-Holland Publ. Co.$$c2010
000007547 300__ $$a573 - 599
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000007547 440_0 $$04647$$aNuclear Physics B$$v829$$x0550-3213$$y3
000007547 500__ $$aWork 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.
000007547 520__ $$aThe loop gas approach to lattice field theory provides an alternative, geometrical description in terms of fluctuating loops. Statistical ensembles of random loops can be efficiently generated by Monte Carlo simulations using the worm update algorithm. In this paper, concepts from percolation theory and the theory of self-avoiding random walks are used to describe estimators of physical observables that utilize the nature of the worm algorithm. The fractal structure of the random loops as well as their scaling properties are studied. To Support this approach, the O(1) loop model, or high-temperature series expansion of the Ising model, is simulated on a honeycomb lattice, with its known exact results providing valuable benchmarks. (C) 2009 Elsevier B.V. All rights reserved.
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000007547 65320 $$2Author$$aLoop gas
000007547 65320 $$2Author$$aMonte Carlo
000007547 65320 $$2Author$$aWorm update algorithm
000007547 65320 $$2Author$$aFractal structure
000007547 65320 $$2Author$$aCritical properties
000007547 65320 $$2Author$$aDuality
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000007547 7001_ $$0P:(DE-Juel1)132210$$aNeuhaus, T.$$b1$$uFZJ
000007547 7001_ $$0P:(DE-HGF)0$$aSchakel, A.M.J.$$b2
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000007547 8567_ $$uhttp://dx.doi.org/10.1016/j.nuclphysb.2009.12.024
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