Quantization of fermions interacting with point-like external fields
type: Item
instance of: scholarly article
title: Quantization of fermions interacting with point-like external fields
zbMATH Open document ID: 0635.46063
DOI: 10.1007/BF00420304
author: P. Falkensteiner
author: H. Grosse
published in: Letters in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: A second quantization of a four-parameter family of Dirac operators interacting with point-like fields leads to inequivalent representations of the CAR. Implementability of gauge transformations gives quantization conditions. We determine the algebra of charges, identify the Schwinger term, and work out a connection between the Fredholm index and the winding number.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81S10
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 4034439
zbMATH Keywords: second quantization of a four-parameter family of Dirac operators interacting with point-like fields
zbMATH Keywords: representations of the CAR
zbMATH Keywords: Implementability of gauge transformations
zbMATH Keywords: Schwinger term
zbMATH Keywords: Fredholm index
zbMATH Keywords: winding number
MaRDI profile type: Publication
cites work: On fermionic gauge groups, current algebras and Kac-Moody algebras
cites work: Twisted condensates of quantised fields
cites work: Implementability of gauge transformations and quantization of fermions in external fields
cites work: Unitary implementability of gauge transformations for the Dirac operator and the Schwinger term
cites work: Automorphisms of the canonical anticommutation relations and index theory
cites work: Quasi-free 'second quantization'
full work available at URL: https://doi.org/10.1007/bf00420304
OpenAlex ID: W2010539398
description: scientific article; zbMATH DE number 4034439