Lattice Abelian-Higgs model with noncompact gauge fields

  title={Lattice Abelian-Higgs model with noncompact gauge fields},
  author={Claudio Bonati and Andrea Pelissetto and Ettore Vicari},
  journal={Physical Review B},
We consider a noncompact lattice formulation of the three-dimensional electrodynamics with $N$-component complex scalar fields, i.e., the lattice Abelian-Higgs model with noncompact gauge fields. For any $N\ensuremath{\ge}2$, the phase diagram shows three phases differing for the behavior of the scalar-field and gauge-field correlations: The Coulomb phase (short-ranged scalar and long-ranged gauge correlations), the Higgs phase (condensed scalar-field and gapped gauge correlations), and the… 

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