Unitary implementability of gauge transformations for the Dirac operator and the Schwinger term

DOI10.1063/1.527575zbMath0663.35072OpenAlexW2030766595MaRDI QIDQ3812664

Harald Grosse, P. Falkensteiner

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527575

zbMATH Keywords

gauge transformationsDirac operatorquantization conditionschiral transformationsunitary implementabilityexternal field problemsSchwinger-term

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries ⋮ Quantization of fermions interacting with point-like external fields

Cites Work

• Automorphisms of the canonical anticommutation relations and index theory
• Quasi-free 'second quantization'
• Free states of the canonical anticommutation relations
• Implementability of gauge transformations and quantization of fermions in external fields
• Some covariant representations of massless Fermi fields
• Twisted condensates of quantised fields