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Finite size effects at phase transition in compact U(1) gauge theory

Claude Roiesnel
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Abstract

We present and discuss the results of a Monte-Carlo simulation of the phase transition in pure compact U(1) lattice gauge theory with Wilson action on a hypercubic lattice with periodic boundary conditions. The statistics are large enough to make a thorough analysis of the size dependence of the gap. In particular we find a non-zero latent heat in the infinite volume limit. We also find that the critical exponents $ν$ and $α$ are consistent with the hyperscaling relation but confirm that the critical behavior is different from a conventional first-order transition.

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Claude Roiesnel. 1997-09-22. Finite size effects at phase transition in compact U(1) gauge theory. https://doi.org/10.1016/s0920-5632(97)00876-1

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