One-loop corrections to $\eta /s$ in AdS${}_4$/CFT${}_3$

Abstract

We study quantum corrections at one-loop order to the shear viscosity to entropy ratio by implementing the Vilkovisky-Barvinsky effective action in asymptotically Anti-de Sitter spacetimes. The shear viscosity is shown to receive no corrections at this order, but the entropy acquires a logarithmic correction. The coefficient of this logarithm turns out to depend on the spin of the particles running in the loop and it can be either positive or negative. On the basis of this result, we argue that the Kovtun-Son-Starinets bound cannot be seen as a fundamental property of nature beyond the classical regime.

arXiv commentMatches version accepted for publication

References in corpus (43)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• General relativity as an effective field theory: The leading quantum corrections
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Logarithmic correction to the Bekenstein-Hawking entropy
• Viscosity Bound Violation in Higher Derivative Gravity
• Viscosity Bound and Causality Violation
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Universailty of Low Energy Absorption Cross-sections for Black Holes
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• String Theory and Classical Absorption by Threebranes
• World Volume Approach to Absorption by Non-dilatonic Branes
• Universality of Quantum Entropy for Extreme Black Holes
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Quantum corrections to eta/s
• Quantum Tunneling and Trace Anomaly
• On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• Black Hole Entropy and Viscosity Bound in Horndeski Gravity
• The AdS/CFT Correspondence
• Is there a "most perfect fluid" consistent with quantum field theory?
• Shear viscosity of boost invariant plasma at finite coupling
• On the covariant formalism of the effective field theory of gravity and leading order corrections
• Non-minimal coupling, boundary terms and renormalization of the Einstein-Hilbert action
• Covariant Perturbation Theory (IV). Third Order in the Curvature
• Shear viscosity of CFT plasma at finite coupling
• Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum Field Theory?"
• Absorption of Scalars by Extended Objects
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Quantum Corrections to the Gravitational Backreaction
• Fluid/gravity correspondence and the CFM black brane solutions
• Deformed AdS4-Reissner-Nordström black branes and shear viscosity-to-entropy density ratio
• Quantum gravity of Kerr-Schild spacetimes and the logarithmic correction to Schwarzschild black hole entropy

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