Second quantization, projective modules, and local gauge invariance

DOI10.1007/BF02086896zbMath0518.58024MaRDI QIDQ1054047

Stephen A. Selesnick

Publication date: 1983

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Swan's theoremhomogeneous Maxwell fieldLorentz force lawphonon-like excitations

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric quantization (53D50) Fiber bundles in algebraic topology (55R10)

Related Items (12)

`Third' quantization of vacuum Einstein gravity and free Yang-Mills theories ⋮ Glafka-2004: categorical quantum gravity ⋮ Continuous vector bundles over topological algebras ⋮ A Serre‐Swan Theorem for Bundles of Topological Modules ⋮ Finitary topos for locally finite, causal and quantal vacuum Einstein gravity ⋮ Foundation for quantum computing. II ⋮ Computing the Lagrangians of the standard model ⋮ Some quantum symmetries and their breaking. II ⋮ Differentiation in modules over topological *-algebras ⋮ The homological Kähler-de Rham differential mechanism. I: Application in general theory of relativity ⋮ Hermitian K-theory over topological *-algebras ⋮ Is time a cyclic dimension? Canonical quantization implicit in classical cyclic dynamics

Cites Work

• Topological aspects of Yang-Mills theory
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Algebraic \(K\)-theory
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