Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.
A numerical study of confinement in compact QED
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abstract
Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the interquark potential and force, and the electric field induced by two infinitely heavy sources. We consider both the zero and finite temperature setting, and compare the theoretical predictions derived from the effective string model and the dual superconductor scenario to the numerical results.
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Landau theory for lattice higher gauge theory and Kramers-Wannier duality
Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.