The XY Model Coupled to Two-Dimensional Quantum Gravity

Details The XY Model Coupled to Two-Dimensional Quantum Gravity The XY Model Coupled to Two-Dimensional Quantum Gravity

1992-06-11

arxiv.org/abs/hep-lat/9206015v1

Phys.Lett. B291 (1992) 233-240

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages

Scientific paper

10.1016/0370-2693(92)91037-A

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 $c=1$.

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