Three-dimensional finite temperature Z2 gauge theory with tensor network scheme

Abstract

We apply a tensor network scheme to finite temperature Z2 gauge theory in 2+1 dimensions. Finite size scaling analysis with the spatial extension up to Nσ=4096 at the temporal extension of Nτ=2,3,5 allows us to determine the transition temperature and the critical exponent at high level of precision, which shows the consistency with the Svetitsky-Yaffe conjecture.

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