Consistent effective description of nucleonic resonances in an unitary relativistic field-theoretic way

TL;DR

This paper develops a covariant, unitary effective field theory framework for describing nucleonic resonances at intermediate energies, bridging the gap between fundamental QCD and phenomenological models.

Contribution

It introduces a consistent, relativistic effective field theory approach for nucleonic resonances using effective particles and discusses implications for non-local interaction couplings.

Findings

Resonances modeled as effective particles with consistent quantum operators

Maintains unitarity within a covariant framework

Provides insights into non-local interaction couplings

Abstract

High energy strong interaction physics is successfully described by the local renormalizable gauge theory called Quantum-Chromo-Dynamics (QCD) with quarks and gluons as ``elementary'' degrees of freedom, while intermediate energy strong interaction physics shows up to be determined by a non-local, non--renormalizable effective field theory (EFT) of ``effective'' degrees of freedom like mesons, ground state baryons and resonances. Within the picture of an effective field theory of strong interaction at intermediate energies I present a ``toy-model'' in which fermionic and bosonic resonances are considered to be ``particles'', i.e. they consistently are described by (anti-)commuting effective field-operators (containing dynamics of infinitely many quark-gluon or meson-nucleon diagrams) which are comfortably treated by Wick's Theorem in a covariant framework and obey unitarity. Non-trivial implications to couplings of non-local interactions are shown.