Phase structures emerging from holography with Einstein-gravity-dilaton models at finite temperature

Abstract

Asymptotic AdS Riemann space-times in five dimensions with a black brane (horizon) sourced by a fully back-reacted scalar field (dilaton) offer -via the holographic dictionary -various options for the thermodynamics of the flat four-dimensional boundary theory, uncovering Hawking-Page, first-order and second-order phase transitions up to a cross-over or featureless behavior. The relation of these phase structures to the dilaton potential is clarified and illustrating examples are presented. Having in mind applications to QCD we study vector mesons in the probe limit with the goal to figure out conditions for forming Regge type series of radial excitations and address the issue of meson melting.

Complexity growth rate during phase transitions

“…12. The parameters in this potential [59,60,64] have been chosen in a way that the plots of c 2 s versus T /T c would match with the phenomenological results of hadron gas and also the lattice models. We discuss the properties of each model at the later parts of this section.…”

Holographic vector mesons in a dilaton background

“…(For our purposes, the numerical values of κ and G 5 as well as k V in (1) are irrelevant.) The dilaton potential V (φ) is the central quantity [40]. We use a simple three-parameter ansatz LT Fig.…”

“…Thus, we consider quarkonia as test particles. We follow [37,38,39,40] and model the holographic background by a gravity-dilaton set-up, i.e. without adding further fundamental degrees of freedom (as done, e.g.…”

Quarkonia Formation in a Holographic Gravity–Dilaton Background Describing QCD Thermodynamics

“…Thus, we considered quarkonia as test particles. If the gravity-dilaton background is considered to be unique, it is known that there would be no confinement at zero temperature [48]. As we show, this problem can be efficiently solved by a less intricate generalization of the standard action of the soft-wall model [53] inspired by [54] which evince a principle to bring together QCD thermodynamics and the confinement of test particles at zero temperature.…”

“…We followed [45][46][47][48] and modelled the holographic background by a gravity-dilaton set-up, i.e., without adding further fundamental degrees of freedom (as done, e.g., in [49,50] and Refs. therein (The influence of the tachyon dual to the quark condensate can be neglected for heavy mesons.))…”