Abelian Higgs model: A Monte Carlo study

Abstract
The Abelian Higgs model—a U(1) lattice gauge theory coupled to a fixed-length scalar field—is studied using Monte Carlo techniques. The phase diagram of the zero-temperature model on a four-dimensional Euclidean lattice is elucidated for systems with charge-one and charge-two Higgs fields. The order of various transitions is tentatively determined. Possible implications for quasiconfinement of quarks and gluons are also discussed briefly.