Products of distributions in several variables and applications to zero- mass \(QED_ 2\)
Summary: We study products of distributions in several variables, having in mind applications to quantum electrodynamics. We introduce a new product, the parameter product, and relate it to known ones. It follows us to rigorously interpret and evaluate products arising in the computations of the one-loop vacuum polarization of zero-mass \(\text{QED}_ 2\), thereby avoiding the occurrence of renormalization ambiguities from the very beginning.
products of distributions in several variables
one-loop vacuum polarization of zero-mass \(\text{QED}_ 2\)
scientific article; zbMATH DE number 428719