An Integral Formalism for the Construction of Scheme Transformations in Quantum Field Theory

TL;DR

This paper introduces an integral formalism to systematically construct and analyze scheme transformations in quantum field theory, enabling the generation of new transformations and comparison of their effects on the coupling constant.

Contribution

The paper develops a novel integral formalism for constructing scheme transformations and provides a comparative analysis of their impact on the interaction coupling in quantum field theory.

Findings

Generated several new scheme transformations

Analyzed the effects on the beta function and coupling constants

Compared series expansion coefficients of different transformations

Abstract

We present an integral formalism for constructing scheme transformations in a quantum field theory. We apply this to generate several new useful scheme transformations. A comparative analysis is given of these scheme transformations in terms of their series expansion coefficients and their resultant effect on the interaction coupling, in particular at a zero of the beta function away from the origin in coupling-constant space.