Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions

DOI10.1007/BF02105184zbMath0816.22008arXivhep-th/9304114MaRDI QIDQ1325561

Edwin Langmann

Publication date: 13 July 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9304114

zbMATH Keywords

gauge transformationsLie algebracurrentsYang-Mills fieldLie bracketSchwinger termsgroups of Bogolyubov automorphisms

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lie groups (22E99)

Related Items (11)

Classical mechanics and geometric quantization on an infinite dimensional disc and Grassmannian ⋮ Descent equations of Yang-Mills anomalies in noncommutative geometry ⋮ Schwinger terms and cohomology of pseudodifferential operators ⋮ QCD on an infinite lattice ⋮ Noncommutative integration calculus ⋮ On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations ⋮ Covariant representations for possibly singular actions on $C^*$-algebras ⋮ Neutral particles and super Schwinger terms ⋮ Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle ⋮ Local anyonic quantum fields on the circle leading to cone-local anyons in two dimensions ⋮ Quantum fields with classical perturbations

Cites Work

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