Recent Progress in Effective Field Theory in the One-Nucleon Sector

TL;DR

This paper reviews recent advances in effective field theory for nucleons, focusing on Lorentz-invariant chiral perturbation theory, meson inclusion, and Delta resonance integration to improve low-energy strong interaction descriptions.

Contribution

It introduces a consistent power counting scheme in Lorentz-invariant baryon ChPT and demonstrates improved empirical data fits through meson and resonance inclusion.

Findings

Enhanced description of nucleon electromagnetic form factors

Improved axial form factor modeling

Systematic inclusion of Delta(1232) resonance

Abstract

Chiral perturbation theory (ChPT) is the effective field theory of the strong interactions at low energies. We will address the issue of a consistent power counting scheme in a manifestly Lorentz-invariant formulation of baryon ChPT. As applications we show how the inclusion of vector and axial-vector mesons in the calculation of the nucleon electromagnetic and axial form factors, respectively, lead to an improved description of the empirical data. Finally, we will outline a systematic implementation of the Delta(1232) resonance into the effective field theory program.