Gribov ambiguities from the bifurcation theory viewpoint

DOI10.1063/1.525193zbMath0478.58035OpenAlexW2073456860MaRDI QIDQ3935913

Edward Malec

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525193

zbMATH Keywords

path integral quantizationYang-Mills potentialtransverse potentialscompact semisimple gauge groupCoulomb condition upon potentialslocal uniqueness of gauge from the standpoint of bifurcation theoryneighbourhood of the local gauge copysingular Faddeev-Popov determinant

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Applications of PDEs on manifolds (58J90) Boundary value problems on manifolds (58J32) Geometric quantization (53D50) Connections (general theory) (53C05) Fiber bundles in algebraic topology (55R10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

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• Some remarks on the Gribov ambiguity
• Gribov degeneracies: Coulomb gauge conditions and initial value constraints