A Swendsen-Wang update algorithm for the Symanzik improved sigma model

Abstract

We study a generalization of Swendsen-Wang algorithm suited for Potts models with next-next-neighborhood interactions. Using the embedding technique proposed by Wolff we test it on the Symanzik improved bidimensional non-linear $\sigma$ model. For some long range observables we find a little slowing down exponent ($z\simeq 0.3$) that we interpret as an effect of the partial frustration of the induced spin model.

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References in corpus (1)

• Wolff-Type Embedding Algorithms for General Nonlinear $\sigma$-Models

Cited by in corpus (2)

• Perturbation theory predictions and Monte Carlo simulations for the 2-d O(n) non-linear sigma-model
• Testing the efficiency of different improvement programs