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arXiv · hep-lat/0309052

Comparison of analytic and numerical results in the XY-model

J. Balog·F. Knechtli·T. Korzec·U. Wolff
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Abstract

We study the two dimensional XY-model with high precision Monte Carlo techniques and investigate the continuum approach of the step-scaling function of its finite volume mass gap. The continuum extrapolated results are found consistent with analytic predictions for the finite volume energy spectrum based on the equivalence with sine-Gordon theory. To come to this conclusion it was essential to use an also predicted form of logarithmic decay of lattice artifacts for the extrapolation.

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J. Balog, F. Knechtli, T. Korzec, U. Wolff. 2003-09-12. Comparison of analytic and numerical results in the XY-model. https://doi.org/10.1016/s0920-5632(03)02710-5

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