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Study of the order of the phase transition in pure U(1) gauge theory with Villain action

arXiv:hep-lat/9809017 · doi:10.1016/S0920-5632(99)85181-0

Abstract

We address the question of the order of the deconfinement phase transition of four dimensional U(1) lattice gauge theory. Simulations of the Z-gauge theory dual to the Villain action on toroidal lattices up to lattice sizes of 28^4 give results consistent with both, a vanishing and a nonvanishing discontinuity in the thermodynamic limit. A decision on the order of the phase transition requires still larger lattice sizes.

LATTICE98(gauge), 3 pages, 2 figures

Study of the order of the phase transition in pure U(1) gauge theory with Villain action · wovepaper