Dirac sheets and gauge fixing in $U(1)$ lattice gauge theory

Abstract

Photon correlators in $U(1)$ pure gauge theory for different lattice actions are considered under the Lorentz gauge condition. They are shown to depend strongly on the gauge fixing ambiguity and on the corresponding existence of Dirac sheets. For the Coulomb phase a gauge fixing algorithm is proposed which avoids Dirac sheets and allows to find the global extremum of the non-local gauge condition. Sorry, figures are not included and can be sent by ordinary mail.

11 pages preprint HU Berlin--IEP--93/2, June 1993

Cited by in corpus (35)

• Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Lattice calculation of gluon screening masses
• Problems in Lattice Gauge Fixing
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• P-vortices and Drama of Gribov Copies
• SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
• The continuum limit of the lattice Gribov problem, and a solution based on Hodge decomposition
• Monopole currents and Dirac sheets in U(1) lattice gauge theory
• Lorentz gauge and Gribov ambiguity in the compact lattice U(1) theory
• Gauge-ball spectrum of the four-dimensional pure U(1) gauge theory
• Investigation of Laplacian Gauge Fixing for U(1) and SU(2) Gauge Fields
• Gribov Problem for Gauge Theories: a Pedagogical Introduction
• Photon propagator, monopoles and the thermal phase transition in 3D compact QED
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• New algorithm for gauge fixing in SU(2) lattice gauge theory
• Gribov Copies in the Maximally Abelian Gauge and Confinement
• Order parameters and boundary effects in U(1) lattice gauge theory
• More on String Breaking in the 3D Abelian Higgs Model: the Photon Propagator
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• Compact lattice QED with Wilson fermions
• A composite massless vector boson
• The lattice Landau gauge photon propagator for 4D compact QED
• Gribov copies and gauge variant correlators in U(1) lattice gauge theory
• Fermionic correlators and zero-momentum modes in quenched lattice QED
• Compact Lattice QED with Staggered Fermions and Chiral Symmetry Breaking
• Phase Structure and Gauge Boson Propagator in the radially active 3D compact Abelian Higgs Model
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• The photon propagator in compact QED_{2+1}: the effect of wrapping Dirac strings
• Zero-momentum modes and chiral limit in compact lattice QED
• Minimal U(1) Gauge Fields in Two Dimensions
• Lorentz gauge fixing and the Gribov problem: the fermion correlator in lattice compact QED with Wilson fermions