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 probe vector mesons with the goal to figure out conditions for forming Regge-type series of radial excitations and address the issue of meson melting.
Highlights
The advent of the insight into Anti-de Sitter (AdS)/CFT correspondence [1,2,3] offered the option of having an alternative access to strongly coupled systems, e.g., to various facets of QCD in the nonpertubative regime, for instance
Asymptotic AdS Riemann space-times in five dimensions with a black brane sourced by a fully back-reacted scalar field 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
Top-down approaches attempt to use input from string theory constructions— or elements thereof. These are to be contrasted with bottom-up approaches which aim at starting with an appropriate model on the field-theory side to mimic certain selected features of the boundary theory side, with the latter being connected to the quantum field theory in Minkowski space, while the former includes the dynamics in the bulk
Summary
The advent of the insight into AdS/CFT correspondence [1,2,3] offered the option of having an alternative access to strongly coupled systems, e.g., to various facets of QCD in the nonpertubative regime, for instance. We stay within such a framework: holographic gravity-dilaton model with the goal to elaborate the emerging thermodynamics w.r.t. conditions for the dilaton potential to catch certain phase structures with relevance to QCD.. We extend our previous studies [69] and investigate to which extent the disappearance of vector mesons as a possible indicator of deconfinement occurs at the QCD cross-over temperature This is important for a holographic realization of the thermo-statistical interpretation of hadron multiplicities in ultra-relativistic heavy-ion collisions, e.g., at LHC [70]. This is supplemented by showing the Schrödinger equivalent potential which governs the existence or non-existence of vector mesons.
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