On the applicability of holography in thermodynamic equilibrium

Abstract

For a strongly coupled system that has a gravity dual description, we show that the standard holographic dictionary yields a nonnegative susceptibility when the system is in thermodynamic equilibrium and the correlation function is absolutely integrable. When the system has no spontaneous condensation or has a spontaneous ${\mathbb{Z}}_2$-symmetry breaking, we find that the ``trace energy condition" is violated in many cases. There is a normalized grand potential density that is monotonic as accessing to lower scales, providing a candidate $c$-function characterizing the number of effective degrees of freedom. Finally, we discuss a ``paradox'' raising by the negative susceptibility in holography and its resolution.

arXiv commentThe published version

References in corpus (27)

• Gauge Theory Correlators from Non-Critical String Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Lecture Notes on Holographic Renormalization
• On Renormalization Group Flows in Four Dimensions
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Holographic Renormalization
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• Mesons in Gauge/Gravity Duals - A Review
• Towards strange metallic holography
• The gravity dual of a p-wave superconductor
• Lifshitz holography
• A non-renormalization theorem for conformal anomalies
• Holographic Quantum Critical Transport without Self-Duality
• Universal conductivity and central charges
• A Holographic P-wave Superconductor Model
• Lifshitz holography: The whole shebang
• Strange metals and the AdS/CFT correspondence
• Black holes and universality classes of critical points
• Holographic d-wave superconductors
• Trace of the energy-momentum tensor and macroscopic properties of neutron stars
• On Thermodynamics of AdS Black Holes with Scalar Hair
• Matrix Theory for Baryons: An Overview of Holographic QCD for Nuclear Physics
• If vacuum energy can be negative, why is mass always positive?: Uses of the subdominant trace energy condition