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.

arXiv comment26 pages, 6 figures. Comments and references added

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Cited by in corpus (5)

• The Gribov problem in Noncommutative QED
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
• A note on the Hamiltonian structure of transgression forms