Analog geometry in an expanding fluid from AdS/CFT perspective

TL;DR

This paper explores the relationship between expanding hadron fluids and analog spacetime geometries using AdS/CFT, linking fluid dynamics, pion properties, and phase transition temperatures.

Contribution

It establishes a novel correspondence between bulk AdS geometries and boundary analog spacetimes in an expanding fluid context, incorporating pion dispersion and phase transition insights.

Findings

Analog metric depends on pion dispersion and fluid velocity

Relation between pion velocity and chiral transition temperature

AdS/CFT maps bulk geometry to boundary fluid dynamics

Abstract

The dynamics of an expanding hadron fluid at temperatures below the chiral transition is studied in the framework of AdS/CFT correspondence. We establish a correspondence between the asymptotic AdS geometry in the 4+1-dimensional bulk with the analog spacetime geometry on its 3+1 dimensional boundary with the background fluid undergoing a spherical Bjorken type expansion. The analog metric tensor on the boundary depends locally on the soft pion dispersion relation and the four-velocity of the fluid. The AdS/CFT correspondence provides a relation between the pion velocity and the critical temperature of the chiral phase transition.