2009

Critical Loop Gases and the Worm Algorithm

Janke, Wolfhard, Neuhaus, Thomas, Schakel, Adriaan M. J.

Understand

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.

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