Higher curvature corrections to pole-skipping

Abstract

Recent developments have revealed a new phenomenon, i.e. the residues of the poles of the holographic retarded two point functions of generic operators vanish at certain complex values of the frequency and momentum. This so-called pole-skipping phenomenon can be determined holographically by the near horizon dynamics of the bulk equations of the corresponding fields. In particular, the pole-skipping point in the upper half plane of complex frequency has been shown to be closed related to many-body chaos, while those in the lower half plane also places universal and nontrivial constraints on the two point functions. In this paper, we study the effect of higher curvature corrections, i.e. the stringy correction and Gauss-Bonnet correction, to the (lower half plane) pole-skipping phenomenon for generic scalar, vector, and metric perturbations. We find that at the pole-skipping points, the frequencies ${\omega }_n=-i2\pi nT$ are not explicitly influenced by both $R^2$ and $R^4$ corrections, while the momenta $k_n$ receive corresponding corrections.

35 pages. Typos corrected,new appendix discussing upper half plane pole-skipping added. Modifications in response to the referee's advice, more discussions and references added, to appear in JHEP

References in corpus (13)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity Bound and Causality Violation
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Beyond eta/s = 1/4pi
• Quantum corrections to eta/s
• The complex life of hydrodynamic modes
• Universal holographic hydrodynamics at finite coupling
• Causality and Hyperbolicity of Lovelock Theories
• Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping
• Relaxation time of a CFT plasma at finite coupling
• Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs

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