Chiral-scale effective theory including a dilatonic meson

TL;DR

This paper develops a scale-invariant chiral effective theory incorporating a dilaton and vector mesons, providing a framework for understanding low-energy QCD phenomena with hidden scale and gauge symmetries.

Contribution

It constructs a novel chiral-scale effective Lagrangian including baryons and vector mesons, emphasizing hidden scale and gauge symmetries, at next-to-leading order.

Findings

The Lagrangian is hidden scale-symmetric and locally symmetric.

It provides a systematic framework for low-energy QCD with a dilaton.

Potential applications in hadron physics are discussed.

Abstract

A scale-invariant chiral effective Lagrangian is constructed for octet pions and a dilaton figuring as Nambu-Goldstone bosons with vector mesons incorporated as hidden gauge fields. The Lagrangian is built to the next-to-leading order in chiral-scale counting without baryon fields and then to leading order including baryons. The resulting theory is hidden scale-symmetric and local symmetric. We also discuss some possible applications of the present Lagrangian.