Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory

Abstract

The continuum Yang-Mills functional integral within the first order formalism and in Coulomb gauge is studied. In particular, the temporal zero-modes of the Faddeev-Popov operator are explicitly accounted for. It is shown that the treatment of these zero-modes results in the constraint that the total color charge of the system vanishes at all times. Further, it is argued that the functional integral is effectively fully gauge-fixed once Gauss' law has been resolved in Coulomb gauge.

7 pages, no figures

References in corpus (7)

• Dielectric function of the QCD vacuum
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Lattice Results in Coulomb Gauge
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge

Cited by in corpus (8)

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• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Higher order heavy quark Green's functions in Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Quark sector of Coulomb gauge Quantum Chromodynamics