Effective holographic models for QCD: Thermodynamics and viscosity coefficients

Abstract

A finite temperature extension of the effective holographic models for QCD (EHQCD), proposed in Ref.[1], is investigated in the present work. EHQCD models are characterized by two parameters, the conformal dimension of the relevant operator that deforms the CFT and the associated coupling. We find that black hole solutions appear at temperatures higher than some temperature $T_{min}$ and can be categorized in two classes: large and small black holes. A large black hole is thermally stable and it is therefore interpreted as the gravity dual of a non-conformal plasma. A small black hole, on the other hand, is thermally unstable. We show that thermodynamic quantities such as the entropy density $s$, specific heat $C_V$, and speed of sound $c_s$ are sensitive to the model parameters. We investigate perturbations of the black hole solutions and calculate the viscosity coefficients of the corresponding dual non-conformal plasma. For the shear viscosity, we confirm that the ratio $\eta /s$ is given by the universal result $1/4\pi$. For the bulk viscosity, the ratio $\zeta /s$ varies with the temperature, displaying a rapid growth close to $T_{min}$, and it is sensitive to the model parameters. We compare our results for the thermodynamic quantities with the lattice $SU(N_C)$ results and find that they are compatible as long as the coupling is fixed appropriately as a function of the conformal dimension. We also compare our results for the viscosity coefficients against the JETSCAPE results that are obtained from the analysis of experimental data on heavy ion collisions.

arXiv comment39 pages, 13 figures , V3: Published in Physical Review D

References in corpus (58)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• From AdS/CFT correspondence to hydrodynamics
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Quasinormal modes and holography
• Exploring improved holographic theories for QCD: Part II
• Lectures on hydrodynamic fluctuations in relativistic theories
• A calculation of the bulk viscosity in SU(3) gluodynamics
• A calculation of the shear viscosity in SU(3) gluodynamics
• Thermodynamics of the QCD plasma and the large-N limit
• Multi-system Bayesian constraints on the transport coefficients of QCD matter
• Mimicking the QCD equation of state with a dual black hole
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• Holography and Thermodynamics of 5D Dilaton-gravity
• Bulk viscosity of gauge theory plasma at strong coupling
• Quasinormal Modes of Near Extremal Black Branes
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Phenomenological constraints on the transport properties of QCD matter with data-driven model averaging
• Bulk viscosity of QCD matter near the critical temperature
• Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
• Dynamical holographic QCD model for glueball and light meson spectra
• Phase Structure in a Dynamical Soft-Wall Holographic QCD Model
• Bulk viscosity of strongly coupled plasmas with holographic duals
• Thermal Transport and Drag Force in Improved Holographic QCD
• Transport properties of cascading gauge theories
• Bulk viscosity and spectral functions in QCD
• Constructing higher-order hydrodynamics: The third order
• Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model
• SU(N_c) gauge theories at deconfinement
• A Refined Holographic QCD Model and QCD Phase Structure
• Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality
• Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
• Glueball Regge Trajectories
• A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
• Holographic Anisotropic Model for Light Quarks with Confinement-Deconfinement Phase Transition
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• Gravitational quasinormal modes of AdS black branes in d spacetime dimensions
• Effective holographic models for QCD: glueball spectrum and trace anomaly
• Introductory lectures to large-N QCD phenomenology and lattice results
• On the Temperature Dependence of the Shear Viscosity and Holography
• Criticality from Einstein-Maxwell-dilaton holography at finite temperature and density
• Sound Mode Hydrodynamics from Bulk Scalar Fields
• Phase diagram and compact stars in a holographic QCD model
• Violation of the holographic bulk viscosity bound
• Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma
• $Q\bar{Q}$ Potential from Strings in Curved Spacetime - Classical Results
• Holographic bulk viscosity: GPR vs EO
• Conformal symmetry breaking in holographic QCD
• Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch II: Transport coefficients and hard probe parameters
• Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch I: Thermodynamics
• An effective holographic approach to QCD
• Hot-dense Lattice QCD: USQCD whitepaper 2018

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