Interaction of the vector-meson octet with the baryon octet in effective field theory

TL;DR

This paper uses classical Dirac constraint analysis and perturbative renormalizability to show that the interaction between vector mesons and baryons can be described by a universal coupling constant, aligning with the massive Yang-Mills framework.

Contribution

It demonstrates the classical consistency and renormalizability of the vector meson-baryon interaction, deriving a universal coupling constant from fundamental principles.

Findings

Standard interaction is classically consistent.

One universal coupling constant is identified.

Interaction aligns with massive Yang-Mills theory.

Abstract

We analyze the constraint structure of the interaction of vector mesons with baryons using the classical Dirac constraint analysis. We show that the standard interaction in terms of two independent SU(3) structures is consistent at the classical level. We then require the self-consistency condition of the interacting system in terms of perturbative renormalizability to obtain relations for the renormalized coupling constants at the one-loop level. As a result we find a universal interaction with one coupling constant which is the same as in the massive Yang-Mills Lagrangian of the vector-meson sector.