Critical loop gases and the worm algorithm
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- 作者：Wolfhard Janke ; Thomas Neuhaus ; Adriaan M.J. Schakel
- 关键词：Loop gas ; Monte Carlo ; Worm update algorithm ; Fractal structure ; Critical properties ; Duality
- 刊名：Nuclear Physics B
- 出版年：2010
- 出版时间：21 April 2010
- 年：2010
- 卷：829
- 期：3
- 页码：573-599
- 全文大小：931 K
文摘
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.