Magnetic monopoles in U(1)_4 Lattice Gauge Theory with Wilson action

Abstract

We construct the Euclidean Green functions for the soliton (magnetic monopole) field in the U(1)_4 Lattice Gauge Theory with Wilson action. We show that in the strong coupling regime there is monopole condensation while in the QED phase the physical Hilbert space splits into orthogonal soliton sectors labelled by integer magnetic charge.

13 pages, LaTeX 2.09 (revtex), submitted to Communications in Mathematical Physics

References in corpus (1)

• A disorder parameter for dual superconductivity in gauge theories

Cited by in corpus (6)

• Colour confinement and dual superconductivity of the vacuum - I
• Scaling analysis of the magnetic monopole mass and condensate in the pure U(1) lattice gauge theory
• The disorder parameter of dual superconductivity in QCD revisited
• Color confinement and dual superconductivity of the vacuum. IV
• A gauge invariant order parameter for monopole condensation in $QCD$ vacuum
• Colour confinement and gauge-invariant field-strength correlations