Abstract
We investigate the phase diagram of the compact U(1) lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous de-formations of the plaquette angles. Just as for the Wilson action, we find a weakly first order transition, separating a confining phase where magnetic monopoles condense, and a Coulomb phase where monopoles are dilute. We also find a third phase where monopoles are completely absent. However, since the monopoles do not influence the long-distance prop-erties of the Coulomb phase, the physics is smooth across the singularity in the monopole density. The topological action offers an algorithmic advantage for the computation of the free energy.
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ArXiv ePrint: 1505.02666
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Akerlund, O., de Forcrand, P. U(1) lattice gauge theory with a topological action. J. High Energ. Phys. 2015, 183 (2015). https://doi.org/10.1007/JHEP06(2015)183
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DOI: https://doi.org/10.1007/JHEP06(2015)183