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

Buonanno, A.; Cella, G.

doi:10.1103/PhysRevD.51.5865

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

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Buonanno, A.
Instituto di Fisica dell Universita di Pisa;
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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hep-lat_9506007.pdf
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PhysRevD.51_5865.pdf
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Citation

Buonanno, A., & Cella, G. (1995). A Swendsen-Wang update algorithm for the Symanzik improved sigma model. Physical Review D, 51, 5865-5869. doi:10.1103/PhysRevD.51.5865.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-BE32-5

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.