Pole-skipping with finite-coupling corrections

Abstract

Recently, it is shown that many Green's functions are not unique at special points in complex momentum space using AdS/CFT. This phenomenon is similar to the pole-skipping in holographic chaos, and the special points are typically located at ${\omega }_n=-(2\pi T)ni$ with appropriate values of complex wave number $q_n$. We study finite-coupling corrections to special points. As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations. While ${\omega }_n$ is uncorrected, $q_n$ is corrected at finite coupling. Some special points disappear at particular values of higher-derivative couplings. Special point locations of the Maxwell scalar and vector modes are related to each other by the electromagnetic duality.

14 pages, ReVTeX4.1; v2: added comments on field redefinitions, published version

References in corpus (4)

• Quantum critical transport, duality, and M-theory
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• The quasi-normal modes of quantum criticality
• Higher derivative effects on eta/s at finite chemical potential

Cited by in corpus (36)

• Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
• Quantum Chaos in Topologically Massive Gravity
• Classifying pole-skipping points
• Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Pole-skipping and Rarita-Schwinger fields
• Pole-skipping and zero temperature
• Pole skipping in holographic theories with bosonic fields
• Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly
• Chaos and pole skipping in CFT${}_2$
• Pole skipping away from maximal chaos
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Deep learning bulk spacetime from boundary optical conductivity
• Pole-skipping points in 2D gravity and SYK model
• Pole-skipping and hydrodynamic analysis in Lifshitz, AdS${}_2$ and Rindler geometries
• Analogue of the pole-skipping phenomenon in acoustic black holes
• Pole skipping in holographic theories with gauge and fermionic fields
• Pole-Skipping in Rotating BTZ Black Holes
• Construction of bulk solutions for towers of pole-skipping points
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Nonuniqueness of scattering amplitudes at special points
• Quantum information scrambling and quantum chaos in little string theory
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
• Perturbing a quantum black hole
• Probing Pole Skipping through Scalar-Gauss-Bonnet coupling
• Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
• Quantum chaos in the presence of non-conformality
• The Algebraic Structure Underlying Pole-Skipping Points
• Pole-skipping and chaos in D3-D7 brane systems
• Pole-skipping for massive fields and the Stueckelberg formalism
• Bulk Spacetime Encoding via Boundary Ambiguities
• Effect of scalar condensation on fermionic pole-skipping
• Thermal Diffusivity and Pole-Skipping in the Incoherent Semilocally Critical IR