On the Definition of Gauge Field Operators in Lattice Gauge-Fixed Theories

Abstract

We address the problem of defining the gauge four-potential on the lattice, in terms of the natural link variables. Different regularized definitions are shown, through non perturbative numerical computation, to converge towards the same continuum renormalized limit.

arXiv comment8 pages, LaTeX2e/LaTeX209, 3 eps figures

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• QCD Running Couplings and Effective Charges
• The Gluon Propagator without lattice Gribov copies
• Non-perturbative Renormalization of Quark bilinears
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Non-perturbative improvement of lattice QCD at large momenta
• Lattice Gauge Fixing for Parameter Dependent Covariant Gauges
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• Quark and Gluon Propagators in Covariant Gauges
• Discretization effects and gauge independence for the electric and magnetic screening masses
• Results on the Gluon Propagator in Lattice Covariant Gauges
• The lattice Landau gauge photon propagator for 4D compact QED
• On the Definition of Gauge Field Operators in Lattice Gauge-Fixed Theories
• How To Fix Non-Perturbatively A Parameter Dependent Covariant Gauge On The Lattice