Effective Lagrangian approach to multi-quark interactions

TL;DR

This paper explores a three-flavour Nambu--Jona-Lasinio model incorporating all non-derivative vertices at next-to-leading order, emphasizing the impact of explicit chiral symmetry breaking on multi-quark interactions.

Contribution

It introduces a comprehensive NLO Lagrangian for three-flavour multi-quark interactions, highlighting the role of explicit chiral symmetry breaking effects.

Findings

Explicit chiral symmetry breaking significantly influences multi-quark dynamics.

The model includes all non-derivative vertices at NLO in the $1/N_c$ expansion.

Comparison with previous models shows improved understanding of symmetry breaking effects.

Abstract

In this workshop we have presented the results obtained in the three-flavour ($N_f=3$) Nambu--Jona-Lasinio model Lagrangian which includes all non-derivative vertices at NLO in the $1/N_c$ expansion of spin zero multi-quark interactions. In particular the role played by the explicit chiral symmetry breaking interactions has been discussed in comparison with previous model Lagrangians.