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Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory

Gaku Arakawa·Ikuo Ichinose·Tetsuo Matsui·Kazuhiko Sakakibara
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Abstract

We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J model of cuprates. For a power-law decaying long-range interaction, which simulates the effect of gapless matter fields, a second-order phase transition takes place separating the confinement and deconfinement phases. For an exponentially decaying interaction simulating matter fields with gaps, the system exhibits no signals of a second-order transition.

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Gaku Arakawa, Ikuo Ichinose, Tetsuo Matsui, Kazuhiko Sakakibara. 2005-06-05. Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory. https://doi.org/10.1103/physrevlett.94.211601

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