Abstract
The four-dimensional U(1) lattice gauge theory with the action − Σ p ( γ cos 2 θ p+ γ cos 2 θ p) is studied by Monte Carlo simulation along the phase transition line separating the confinement and the Coulomb phases. The discontinuity of 〈cos θ p〉, determined in the interval 0.2 ⩽ γ ⩽ 0.5, is extrapolated according to a power law and shown to vanish at the tricritical point β TCP = ±449, γ TCP=−0.11±0.05 (errors are systematic). A negative value of γ TCP means that the phase transition in lattice QED with Wilson action ( γ = 0) is of first order.
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