Gribov ambiguity and degenerate systems

Abstract

The relation between Gribov ambiguity and degeneracies in the symplectic structure of physical systems is analyzed. It is shown that, in finite-dimensional systems, the presence of Gribov ambiguities in regular constrained systems (those where the constraints are functionally independent) always leads to a degenerate symplectic structure upon Dirac reduction. The implications for the Gribov-Zwanziger approach to QCD are discussed.

26 pages, 6 figures. Comments and references added

References in corpus (7)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Gribov ambiguity in asymptotically AdS three-dimensional gravity
• Unconstrained Hamiltonian formulation of low energy QCD
• Gauge symmetries of systems with a finite number of degrees of freedom

Cited by in corpus (2)

• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields