Chirally symmetric effective field theory for nuclei

TL;DR

This paper discusses a chiral symmetric effective field theory for nuclei based on a Lorentz-invariant Lagrangian that includes nucleons, pions, and mesons, organized by naturalness and dimensional analysis.

Contribution

It derives a Lorentz-invariant nuclear Lagrangian with nonlinear chiral symmetry realization, incorporating key mesons and nucleons, with couplings set by naturalness principles.

Findings

The Lagrangian exhibits nonlinear chiral symmetry realization.

Coupling constants are dimensionless and of order unity.

The framework provides a systematic effective field theory for nuclear interactions.

Abstract

The Lorentz-invariant nuclear lagrangian of Furnstahl, Serot and Tang (FST) is discussed. The FST lagrangian is derived in terms of an effective field theory and exhibits a nonlinear realization of chiral symmetry $SU(2)_L\times SU(2)_R$. The relevant degrees of freedom are nucleons, pions and the low-lying non-Goldstone bosons: isoscalar scalar ($\sigma$) and vector ($\omega$) mesons, and isovector vector ($\rho$) mesons. The terms in the lagrangian are organized by applying Georgi's naive dimensional analysis and naturalness condition. As a consequence all coupling constants in theory are dimensionless and of order unity.