The universal \(C^*\)-algebra of the electromagnetic field. II. Topological charges and spacelike linear fields. Dedicated to Karl-Henning Rehren on the occasion of his 60th birthday

DOI10.1007/s11005-016-0931-xzbMath1364.81238arXiv1610.03302OpenAlexW3121629225WikidataQ121587780 ScholiaQ121587780MaRDI QIDQ528283

Giuseppe Ruzzi, Fabio Ciolli, Detlev Buchholz, Ezio Vasselli

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1610.03302

zbMATH Keywords

electromagnetic fieldtopological chargesnon-linear field operators

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) de Rham cohomology and algebraic geometry (14F40)

Related Items (6)

The universal algebra of the electromagnetic field. III. Static charges and emergence of gauge fields ⋮ Quantum field theories on categories fibered in groupoids ⋮ Where charged sectors are localizable: a viewpoint from covariant cohomology ⋮ Linking numbers in local quantum field theory ⋮ Symmetries in quantum field theory and quantum gravity ⋮ Asymptotic charges, large gauge transformations and inequivalence of different gauges in external current QED

Cites Work

• Perturbative algebraic quantum field theory and the renormalization groups
• Algebras of unbounded operators in quantum field theory
• Local algebras of observables and pointlike localized fields
• The universal \(C^*\)-algebra of the electromagnetic field
• Phase space properties and the short distance structure in quantum field theory
• An Algebraic Approach to Quantum Field Theory
• The determination of a local or almost local field from a given current
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