Two Phases for Compact U(1) Pure Gauge Theory in Three Dimensions

Abstract

We show that if actions more general than the usual simple plaquette action ($\sim F_{\mu \nu }^2$) are considered, then compact $U(1)$ {\sl pure} gauge theory in three Euclidean dimensions can have two phases. Both phases are confining phases, however in one phase the monopole condensate spontaneously `magnetizes'. For a certain range of parameters the phase transition is continuous, allowing the definition of a strong coupling continuum limit. We note that these observations have relevance to the `fictitious' gauge field theories of strongly correlated electron systems, such as those describing high-$T_c$ superconductors.

10 pages, Plain TeX, uses harvmac

References in corpus (3)

• Non-Compact Pure Gauge QED in 3D is Free
• Effective action of magnetic monopole in three-dimensional electrodynamics with massless matter and gauge theories of superconductivity
• The derivative expansion of the renormalization group

Cited by in corpus (5)

• Photon propagator, monopoles and the thermal phase transition in 3D compact QED
• Exact renormalization group study of fermionic theories
• Confinement and the photon propagator in 3D compact QED: a lattice study in Landau gauge at zero and finite temperature
• Interaction potential in compact three-dimensional QED with mixed action
• The photon propagator in compact QED_{2+1}: the effect of wrapping Dirac strings