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arxiv: 1405.0394 · v2 · pith:IEQYSWTTnew · submitted 2014-05-02 · ✦ hep-th

Gribov ambiguity and degenerate systems

classification ✦ hep-th
keywords systemsgribovambiguitydegeneratestructuresymplecticalwaysambiguities
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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.

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