Holographic Instanton Liquid and chiral transition

TL;DR

This paper explores how holographic models with D-instanton charges can describe quark confinement and chiral phase transitions at finite temperature and density, revealing insights into baryon stability and deconfinement.

Contribution

It introduces a holographic framework incorporating D-instanton effects to analyze chiral transitions and baryon properties at finite temperature and density.

Findings

Quark confinement occurs despite gluon deconfinement due to D-instanton charges.

Chiral phase transition depends on temperature and density parameters.

Baryon vertex melting corresponds to quark deconfinement.

Abstract

In the presence of uniform D-instanton charges, quarks can be confined although gluons are not, because baryon vertices are allowed due to the net repulsive force on the on the probe D-branes. Since there is no scale in the geometry itself apart from the horizon size, there is no Hawking-Page transition. As a consequence, the D7 brane embedding can encode the effect of the the finite temperature as well as finite baryon density even for low temperature. The probe D-brane embedding, however, undergoes a chiral phase transition according to the temperature and density parameter. We studied such phase transitions and calculated the constituent quark mass, chiral condensation and the binding energy of baryons as function of the density. The baryon vertex melting is identified as the quark deconfinement. We draw phase diagram according to these transitions.