The Thermodynamics of a 5D Gravity-Dilaton-Tachyon Solution

Abstract

We propose a finite-temperature holographic model with a soft-wall geometry that incorporates two scalar fields, dual to the gluon and chiral operators. A series solution is presented as the dynamical, black-hole solution to Einstein's equations. We use the solution to calculate the thermal properties of the corresponding 4D gauge theory. Gluon and chiral thermal condensates contribute leading-order terms that affect the speed of sound through and entropy of the 4D thermal medium. At a temperature T c ∼ 900 MeV, we find a phase transition, which is much higher than lattice QCD calculations. However, the transition only exists with nonzero thermal condensates.

Topological entanglement entropy, ground state degeneracy and holography

“…However, the dilaton potential for black hole phase is temperature dependent, so this route does not work for us. Another way to construct the soft-wall black hole is considered in [53] for a flat boundary and in the limit where the horizon is close to the boundary. In this method, the potential, V (φ, T ), made out of dilaton, φ(z), and an additional scalar field, T (z), is reconstructed from non-black hole geometry [42].…”