Holographic renormalization in dense medium

TL;DR

This paper explores holographic renormalization of charged black branes in dense media, revealing how different boundary conditions lead to distinct thermodynamic descriptions and connecting bulk solutions to dual field theories with conformal or non-conformal matter.

Contribution

It demonstrates how regularity conditions in holographic renormalization yield consistent thermodynamics and clarifies the dual field theory nature based on bulk boundary conditions.

Findings

Reproduces thermodynamic quantities via bulk field regularity.

Shows Bekenstein-Hawking entropy matches the dual field theory's thermal entropy.

Distinguishes dual theories as conformal or non-conformal based on dilaton profiles.

Abstract

We investigate the holographic renormalization of a charged black brane with or without a dilaton field, whose dual field theory describes a dense medium at finite temperature. In a dense medium, two different thermodynamic descriptions are possible due to an additional conserved charge. These two different thermodynamic ensembles are classified by the asymptotic boundary condition of the bulk gauge field. We show that in the holographic renormalization regularity of all bulk fields can reproduce consistent thermodynamic quantities and that the Bekenstein-Hawking entropy is nothing but the renormalized thermal entropy of the dual field theory. Furthermore, we find that the Reissner-Nordstrom AdS black brane is dual to a theory with conformal matter as expected, whereas a charged black brane with a nontrivial dilaton profile is mapped to a theory with non-conformal matter although its leading asymptotic geometry still remains as AdS space.