Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces
type: Item
instance of: scholarly article
title: Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces
zbMATH Open document ID: 0633.47032
DOI: 10.1016/0022-247X(87)90085-0
author: Asao Arai
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The short distance asymptotic behavior is studied for some quantities formed out of fundamental solutions of Dirac operators minimally coupled to finite dimensional matrix-valued gauge potentials on even dimensional Euclidean spaces and an explicit asymptotic formula is established for each of them. The analysis gives a mathematically rigorous proof as well as a mathematically self-consistent description to the so-called ``(Abelian) chiral anomaly'' in quantum gauge field theories.
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 4030315
zbMATH Keywords: Abelian chiral anomaly
zbMATH Keywords: short distance asymptotic behavior
zbMATH Keywords: fundamental solutions of Dirac operators minimally coupled to finite dimensional matrix-valued gauge potentials on even dimensional Euclidean spaces
zbMATH Keywords: explicit asymptotic formula
zbMATH Keywords: quantum gauge field theories
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90085-0
OpenAlex ID: W2060844929
description: scientific article; zbMATH DE number 4030315