The action of the group of bundle-automorphisms on the space of connections and the geometry of gauge theories

DOI10.1016/0393-0440(84)90022-6zbMath0599.53060OpenAlexW2038646841MaRDI QIDQ1080212

Cesare Reina, Paolo Cotta-Ramusino

Publication date: 1984

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(84)90022-6

zbMATH Keywords

Yang-Mills theorygauge theoriesghostsanomalieslinear connections

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (12)

On the BRS’s ⋮ Cohomology Classes Associated to Anomalies ⋮ The observer's ghost: notes on a field space connection ⋮ Equivariant characteristic forms on the bundle of connections ⋮ The integration of G-invariant functions and the geometry of the Faddeev- Popov procedure ⋮ Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method ⋮ Unnamed Item ⋮ BRS cohomology and topological anomalies ⋮ The geometry of gauge fields ⋮ Axial symmetry, anti-BRST invariance, and modified anomalies ⋮ Michel theory of symmetry breaking and gauge theories ⋮ Note on the bundle geometry of field space, variational connections, the dressing field method, \& presymplectic structures of gauge theories over bounded regions

Cites Work

• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Geometry of SU(2) gauge fields
• On a new variational principle in general relativity and the energy of the gravitational field
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Infinite dimensional Lie transformation groups
• Some remarks on the Gribov ambiguity
• Une caractérisation abstraite des opérateurs différentiels.
• Self-duality in four-dimensional Riemannian geometry
• Equivariant cohomology and cohomological field theories
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