The group of gauge transformations as a Schwartz–Lie group

DOI10.1063/1.526680zbMath0583.53028OpenAlexW2090041002WikidataQ115332205 ScholiaQ115332205MaRDI QIDQ3706119

Alessandro Manià, Renzo Cirelli

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526680

zbMATH Keywords

gauge transformationsprincipal bundleSchwartz-Lie group

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Connections (general theory) (53C05)

Related Items (9)

The orbit space of the action of gauge transformation group on connections ⋮ Yang-Mills moduli spaces over an orientable closed surface via Fréchet reduction ⋮ Singular symplectic cotangent bundle reduction of gauge field theory ⋮ Lie group structures on symmetry groups of principal bundles ⋮ The Lie group of automorphisms of a principal bundle ⋮ Weak Riemannian structures on gauge-group orbits ⋮ Smoothness of the action of the gauge transformation group on connections ⋮ Normal form of equivariant maps in infinite dimensions ⋮ DIFFERENTIAL OPERATORS ON SCHWARTZ DISTRIBUTIONS

Cites Work

• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Some remarks on the Gribov ambiguity
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• The inverse function theorem of Nash and Moser

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