The geometry of gauge field copies

DOI10.1007/BF01208502zbMath0491.58011MaRDI QIDQ1167463

Francisco Antonio Doria

Publication date: 1981

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

zbMATH Keywords

gauge groupholonomy group2-form over spacetimeambiguous potentialsgauge-equivalencenon degenerate fieldpotential ambiguity for nonabelian gauge fieldspotential of a gauge field

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Applications of PDEs on manifolds (58J90)

Related Items

Counterexamples to some results on the existence of field copies ⋮ Necessary and sufficient analytical conditions for the existence of false gauge field copies ⋮ Does a generic connection depend continuously on its curvature?

Cites Work

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• The field copy problem: To what extent do curvature (gauge field) and its covariant derivatives determine connection (gauge potential)?
• Some remarks on the Gribov ambiguity
• Topological aspects of Yang-Mills theory
• Significance of Electromagnetic Potentials in the Quantum Theory
• Mesonic test fields and spacetime cohomology
• A Theorem on Holonomy