Gribov ambiguity and degenerate systems
Fabrizio Canfora, Fiorenza de Micheli, Patricio Salgado-Rebolledo,, Jorge Zanelli
TL;DR
This paper explores how Gribov ambiguities in constrained physical systems cause degeneracies in the symplectic structure after reduction, with implications for quantum chromodynamics.
Contribution
It establishes a direct link between Gribov ambiguities and symplectic degeneracies in finite-dimensional systems, extending understanding of gauge fixing issues.
Findings
Gribov ambiguities lead to degenerate symplectic structures after Dirac reduction.
Regular constrained systems with Gribov ambiguities always exhibit degeneracy.
Implications for the Gribov-Zwanziger approach to QCD are discussed.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.