The interface tension atT _c in the potts model

Abstract

Recently there has been a lot of interest in determining the interface tension between the ordered and disordered phases of QCD and other statistical systems with lattice Monte Carlo methods. In this work these methods are further developed with a renormalization transformation to encompass all lattice spin and gauge models. This method is applied to the 2 dimensional 7 state and 3 dimensional 3 state simple cubic lattice Potts models by using the Migdal-Kadanoff scaling approximation. A finite-size analysis for the measured values is performed; the results are α/T=(7.4±1.0)×10⁻² for the 2d7s and α/T=(4.0±1.2)×10⁻³ for the 3d3s model. However, the systematic errors due to the approximation scheme may be of the order of 30%.