The XY model coupled to two-dimensional quantum gravity

C. F. Baillie, D. A. Johnston

Research output: Contribution to journalArticle

Abstract

We perform Monte Carlo simulations using the Wolff cluster algorithm of the XY model on both fixed and dynamical phi-cubed graphs (i.e. without and with coupling to two-dimensional quantum gravity). We compare the numerical results with the theoretical expectation that the phase transition remains of KT type when the XY model is coupled to gravity. We also examine whether the universality we discovered in our earlier work on various Potts models with the same value of the central charge, c, carries over to the XY model, which has c = 1.

Original languageEnglish
Pages (from-to)233-240
Number of pages8
JournalPhysics Letters B
Volume291
Issue number3
Publication statusPublished - 1992

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