Holographic aspects of a relativistic non-conformal theory

TL;DR

This paper explores the holographic properties of a relativistic non-conformal theory using a black brane solution, deriving thermodynamics, transport coefficients, and entanglement entropy to test gauge/gravity duality.

Contribution

It provides a comprehensive holographic analysis of a non-conformal theory, including thermodynamics, hydrodynamics, and entanglement, confirming the consistency of gauge/gravity duality in this context.

Findings

Thermodynamics consistent with geometric results

Hydrodynamic transport coefficients match Kubo formula

Insights into binding energy, drag force, and entanglement entropy

Abstract

We study a general D-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the self-consistency of the gauge/gravity duality in the relativistic non-conformal theory. In order to understand more about the relativistic non-conformal theory, we further investigate the binding energy, drag force and holographic entanglement entropy of the relativistic non-conformal theory.