The Product Arbitrariness of Generalised Functions and its Role in Quantum Field Theory
arXiv:2206.08146 · doi:10.1088/2399-6528/ac5d07
Abstract
In this study, the problem of the product arbitrariness of generalised functions in the framework of Schwartz distribution is addressed. This arbitrariness is responsible for the problem of infinities encountered in quantum field theory when higher order corrections are considered. The methods of Guttinger Konig and Hormander for getting rid of this arbitrariness are investigated.
15 pages, 3 figures