Phase Structure and Gauge Boson Propagator in the radially active 3D compact Abelian Higgs Model

Abstract

Unfreezing the radial degree of freedom, we study the three-dimensional Abelian Higgs model with compact gauge field and fundamentally charged matter. For small quartic Higgs self coupling and finite gauge coupling the model possesses a first order transition from the confined/symmetric phase to the deconfined/Higgs phase separated at some hopping parameter ${\kappa }_c$. Latent heat and surface tension are obtained in the first order regime. At larger quartic coupling the first order transition ceases to exist, and the behavior becomes similar to that known from the London limit. These observations are complemented by a study of the photon propagator in Landau gauge in the two different regimes. The problems afflicting the gauge fixing procedure are carefully investigated. We propose an improved gauge fixing algorithm which uses a finite subgroup in a preselection/preconditioning stage. The computational gain in the expensive confinement region is a speed-up factor around 10. The propagator in momentum space has a non-zero anomalous dimension in the confined phase whereas it vanishes in the Higgs phase. As far as the gauge boson propagator is concerned, we find that the radially active Higgs field provides qualitatively no new effect compared to the radially frozen Higgs field studied before.

15 pages, 10 figures

References in corpus (12)

• Where the electroweak phase transition ends
• Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
• Critical fluctuations in superconductors and the magnetic field penetration depth
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• The Gluon Propagator on a Large Volume, at $\beta =6.0$
• Masses and Phase Structure in the Ginzburg-Landau Model
• Dirac sheets and gauge fixing in $U(1)$ lattice gauge theory
• Three-dimensional U(1) gauge+Higgs theory as an effective theory for finite temperature phase transitions
• String Breaking and Monopoles: a Case Study in the 3D Abelian Higgs Model
• Photon propagator, monopoles and the thermal phase transition in 3D compact QED
• More on String Breaking in the 3D Abelian Higgs Model: the Photon Propagator
• The photon propagator in compact QED_{2+1}: the effect of wrapping Dirac strings

Cited by in corpus (6)

• CP^1+U(1) Lattice Gauge Theory in Three Dimensions: Phase Structure, Spins, Gauge Bosons, and Instantons
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
• A model for QCD ground state with magnetic disorder
• Monopole Chains in the Compact Abelian Higgs Model with doubly-charged Matter Field