Quantization of fermions interacting with point-like external fields

DOI10.1007/BF00420304zbMath0635.46063OpenAlexW2010539398MaRDI QIDQ1097483

P. Falkensteiner, Harald Grosse

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00420304

zbMATH Keywords

winding numberFredholm indexImplementability of gauge transformationsrepresentations of the CARSchwinger termsecond quantization of a four-parameter family of Dirac operators interacting with point-like fields

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10) Miscellaneous applications of functional analysis (46N99)

Related Items (10)

Relativistic point interactions: Approximation by smooth potentials ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries ⋮ Relativistic point interaction with Coulomb potential in one dimension ⋮ Approximation of one-dimensional relativistic point interactions by regular potentials revised ⋮ Time ordering and counting statistics ⋮ Klein's paradox and the relativistic point interaction ⋮ Fermion number creation via electromagnetism ⋮ Finite-rank perturbations of the Dirac operator ⋮ Relativistic point interaction

Cites Work

• On fermionic gauge groups, current algebras and Kac-Moody algebras
• Automorphisms of the canonical anticommutation relations and index theory
• Quasi-free 'second quantization'
• Implementability of gauge transformations and quantization of fermions in external fields
• Unitary implementability of gauge transformations for the Dirac operator and the Schwinger term
• Twisted condensates of quantised fields

This page was built for publication: Quantization of fermions interacting with point-like external fields