Compact U(1) gauge theories in 2+1 dimensions and the physics of low dimensional insulating materials

Abstract

Compact abelian gauge theories in $d=2+1$ dimensions arise often as an effective field-theoretic description of models of quantum insulators. In this paper we review some recent results about the compact abelian Higgs model in $d=2+1$ in that context.

5 pages, 3 figures; based on talk by F.S. Nogueira in the Aachen HEP2003 conference

Cited by in corpus (7)

• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Novel Phases and Old Puzzles in QED3 and related models
• Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry