Vacuum expectation values of products of chiral currents in \(3+1\) dimensions

DOI10.1007/BF02097003zbMath0788.22024arXivhep-th/9206005OpenAlexW3099314912MaRDI QIDQ2367967

Jouko Mickelsson

Publication date: 1 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9206005

zbMATH Keywords

noncommutative geometryloop groupvacuum expectationnon-Abelian chiral current algebra

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lie algebras of Lie groups (22E60)

Related Items (2)

Classical mechanics and geometric quantization on an infinite dimensional disc and Grassmannian ⋮ Quantum electrodynamics in external fields from the spin representation

Cites Work

• Chiral anomalies in even and odd dimensions
• Commutator anomalies and the Fock bundle
• Measures on infinite dimensional Grassmann manifolds
• Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
• Superconnection character forms and the Cayley transform
• Quasi-free 'second quantization'
• On the Mickelsson-Faddeev extension and unitary representations
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