Baryon Chiral Perturbation Theory combined with the ${\mathbf{1/N_c}}$ Expansion in SU(3) I: Framework

TL;DR

This paper develops a combined theoretical framework of Baryon Chiral Perturbation Theory and the $1/N_c$ expansion for three flavors, providing renormalization and applications to baryon properties consistent with lattice QCD results.

Contribution

It introduces a unified $\xi$-expansion linking $1/N_c$ and low energy power counting, and computes renormalization at ${ m O}(\xi^3)$ for baryon observables.

Findings

Renormalization formulas at ${ m O}(\xi^3)$ derived.

Application to baryon masses consistent with lattice QCD.

Application to axial couplings consistent with lattice QCD.

Abstract

Baryon Chiral Perturbation Theory combined with the $1/N_c$ expansion is implemented for three flavors. Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $\xi$-expansion, in which the $1/N_c$ and the low energy power countings are linked according to $1/N_c={\cal{O}}(\xi)={\cal{O}}(p)$. The renormalization to ${\cal{O}}(\xi^3)$ necessary for the mentioned observables is provided, along with applications to the baryon masses and axial couplings as obtained in lattice QCD calculations.