Neutrix Calculus and Finite Quantum Field Theory

TL;DR

This paper explores the application of neutrix calculus to quantum field theory, achieving finite renormalizations and simplifying quantum gravity calculations without altering measurable results.

Contribution

It introduces neutrix calculus as a method to handle divergences in QFT, providing finite results and improving the treatment of quantum gravity.

Findings

Finite renormalizations achieved in QFT

Quantum gravity becomes more manageable with neutrix calculus

Physically measurable results remain unchanged

Abstract

In general, quantum field theories (QFT) require regularizations and infinite renormalizations due to ultraviolet divergences in their loop calculations. Furthermore, perturbation series in theories like QED are not convergent series, but are asymptotic series. We apply neutrix calculus, developed in connection with asymptotic series and divergent integrals, to QFT,obtaining finite renormalizations. While none of the physically measurable results in renormalizable QFT is changed, quantum gravity is rendered more manageable in the neutrix framework.