Constraint analysis for the interaction of the vector-meson octet with the baryon octet

TL;DR

This paper performs a constraint analysis on the interaction between vector-meson and baryon octets, ensuring classical consistency and exploring implications for renormalized coupling constants.

Contribution

It applies Dirac's Hamiltonian method to verify classical consistency and discusses how renormalizability constraints influence coupling constants.

Findings

Standard interaction is classically consistent

Relations among renormalized coupling constants are suggested

Framework supports perturbative renormalizability considerations

Abstract

We describe a constraint analysis for the interaction of the vector-meson octet with the baryon octet. Applying Dirac's Hamiltonian method, we verify that the standard interaction in terms of two independent SU(3) structures is consistent at the classical level. We argue how the requirement of self consistency with respect to perturbative renormalizability may lead to relations among the renormalized coupling constants of the system.