Comparison of analytic and numerical results in the XY-model

Details Comparison of analytic and numerical results in the XY-model Comparison of analytic and numerical results in the XY-model

2003-09-12

arxiv.org/abs/hep-lat/0309052v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 1 figure, Lattice2003(higgs)

Scientific paper

10.1016/S0920-5632(03)02710-5

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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