Canonical Demon Monte Carlo Renormalization Group

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LaTeX file, 7 pages, preprints CERN TH.7330/94, MS-TPI-7

Scientific paper

10.1016/0370-2693(94)91383-8

We describe a new method to compute renormalized coupling constants in a Monte Carlo renormalization group calculation. The method can be used for a general class of models, e.g., lattice spin or gauge models. The basic idea is to simulate a joint system of block spins and canonical demons. In contrast to the Microcanonical Renormalization Group invented by Creutz et al. our method does not suffer from systematical errors stemming from a simultaneous use of two different ensembles. We present numerical results for the $O(3)$ nonlinear $\sigma$-model.

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