Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces
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.
fundamental solutions of Dirac operators minimally coupled to finite dimensional matrix-valued gauge potentials on even dimensional Euclidean spaces
scientific article; zbMATH DE number 4030315