On renormalizability of the effective field theory of massive Yang-Mills fields

TL;DR

This paper demonstrates that the effective field theory of massive Yang-Mills fields interacting with fermions is perturbatively renormalizable and discusses its implications for the strong CP problem.

Contribution

It shows the perturbative renormalizability of massive Yang-Mills effective field theory and explores the massless limit's relevance to gauge theories.

Findings

Perturbative renormalizability of the theory is established.

The massless limit corresponds to a gauge effective field theory.

Potential implications for solving the strong CP problem are discussed.

Abstract

Effective field theory of massive Yang-Mills fields interacting with fermions is considered. Perturbative renormalizability in the sense of effective field theory is shown. It is argued that the limit of vanishing vector boson mass leads to massless gauge effective field theory. Possible relevance for the solution to the strong CP problem is discussed.