Dilatons in Dense Baryonic Matter

TL;DR

This paper explores the role of the dilaton, representing scale symmetry and trace anomaly of QCD, in dense baryonic matter, discussing its implications for chiral symmetry breaking and high-density phases.

Contribution

It introduces the incorporation of the dilaton field into models of dense baryonic matter, linking scale symmetry breaking to chiral symmetry and high-density phenomena.

Findings

Dilaton may influence the behavior of dense baryonic matter.

The dilaton limit leads to the emergence of a linear sigma model.

Dilaton's role is connected to the trace anomaly and scale symmetry in QCD.

Abstract

We discuss the role of dilaton, which is supposed to be representing a special feature of scale symmetry of QCD, trace anomaly, in dense baryonic matter. The idea that the scale symmetry breaking of QCD is responsible for the spontaneous breaking of chiral symmetry is presented along the similar spirit of Freund-Nambu model. The incorporation of dilaton field in the hidden local symmetric parity doublet model is briefly sketched with the possible role of dilaton at high density baryonic matter, the emergence of linear sigma model in dilaton limit.