On the Resonance Coupling and Width in Quantum Field Theory

TL;DR

This paper addresses how to properly define resonance coupling in quantum field theory to ensure finite, scheme-independent resonance properties, by handling divergences in self-energy diagrams through renormalization.

Contribution

It introduces a method to define resonance coupling $g_M$ that yields finite, scheme-independent resonance characteristics in quantum field theory.

Findings

Resonance properties can be made finite and scheme-independent.

Proper renormalization of self-energy diagrams is essential.

A new definition of resonance coupling $g_M$ is proposed.

Abstract

In quantum field theory, characteristics of resonances are related to self-energy diagrams, which are ultra-violet divergent and require renormalization. We demonstrate the proper way to define the resonance coupling $g_M$ such that the resonance properties calculated in quantum field theory are finite and scheme-independent quantities.