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001     7547
005     20210129210434.0
024 7 _ |a 10.1016/j.nuclphysb.2009.12.024
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041 _ _ |a eng
082 _ _ |a 530
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|a Physics, Particles & Fields
100 1 _ |0 P:(DE-HGF)0
|a Janke, W.
|b 0
245 _ _ |a Critical loop gases and the worm algorithm
260 _ _ |a Amsterdam
|b North-Holland Publ. Co.
|c 2010
300 _ _ |a 573 - 599
336 7 _ |a Journal Article
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440 _ 0 |0 4647
|a Nuclear Physics B
|v 829
|x 0550-3213
|y 3
500 _ _ |a 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.
520 _ _ |a 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.
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653 2 0 |2 Author
|a Loop gas
653 2 0 |2 Author
|a Monte Carlo
653 2 0 |2 Author
|a Worm update algorithm
653 2 0 |2 Author
|a Fractal structure
653 2 0 |2 Author
|a Critical properties
653 2 0 |2 Author
|a Duality
700 1 _ |0 P:(DE-Juel1)132210
|a Neuhaus, T.
|b 1
|u FZJ
700 1 _ |0 P:(DE-HGF)0
|a Schakel, A.M.J.
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|t Nuclear physics / B
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856 7 _ |u http://dx.doi.org/10.1016/j.nuclphysb.2009.12.024
856 4 _ |u https://juser.fz-juelich.de/record/7547/files/0910.5231.pdf
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