Asymptotic freedom in massive Yang-Mills theory

TL;DR

This paper demonstrates that in a massive Yang-Mills theory modeled as an effective field theory, the coupling constant diminishes logarithmically at high energy scales, indicating asymptotic freedom similar to massless non-abelian gauge theories.

Contribution

It shows that massive Yang-Mills theories exhibit asymptotic freedom when treated as effective field theories with suppressed non-renormalizable interactions.

Findings

Coupling constant vanishes logarithmically at high scales

Massive Yang-Mills theory exhibits asymptotic freedom

Effective field theory approach is applicable

Abstract

An effective field theory model of the massive Yang-Mills theory is considered. Assuming that the renormalized coupling constants of 'non-renormalizable' interactions are suppressed by a large scale parameter it is shown that in analogy to the non-abelian gauge invariant theory the dimensionless coupling constant vanishes logarithmically for large values of the renormalization scale parameter.