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Nonuniqueness of Green's functions at special points

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arxiv 1905.12015 v2 pith:AMC3BLLS submitted 2019-05-28 hep-th gr-qcnucl-th

Makoto Natsuume , Takashi Okamura This is my paper
classification hep-thgr-qcnucl-th
keywords functionsgreenpointsspecialbulkcomplexexamplesmode
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate a new property of retarded Green's functions using AdS/CFT. The Green's functions are not unique at special points in complex momentum space. This arises because there is no unique incoming mode at the horizon and is similar to the "pole-skipping" phenomenon in holographic chaos. Our examples include the bulk scalar field, the bulk Maxwell vector and scalar modes, and the shear mode of gravitational perturbations. In these examples, the special points are always located at $\omega_\star = -i(2\pi T)$ with appropriate values of complex wave number.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems

    hep-th 2025-12 conditional novelty 7.0 of 10

    Pole-skipping points in non-maximally chaotic systems form Regge-like trajectories whose leading curve encodes the quantum Lyapunov exponent.

  2. Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons

    hep-th 2025-08 conditional novelty 7.0 of 10

    Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.

  3. Pole-skipping without master variable and holographic superfluids

    hep-th 2025-12 conditional novelty 6.0 of 10

    A master-variable-free matrix formalism for pole-skipping, applied to holographic superfluids, shows that the massless order parameter produces no new hydrodynamic pole-skipping point.

  4. Quantum chaos and pole skipping in two-dimensional conformal perturbation theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A deformed 2D CFT's stress-tensor pole-skipping point shifts at O(lambda^2); at h=1/2 the shift matches the holographic butterfly velocity.

  5. Thermal field theory correlators in the large-$N$ limit and the spectral duality relation

    hep-th 2025-09 conditional novelty 6.0 of 10

    The spectral duality relation, previously found for 3d CFTs and 4d black holes, is shown to hold for meromorphic thermal two-point correlators in any dimension and for correlators related by double-trace deformations,...

  6. A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification

    cs.AI 2025-08 unverdicted novelty 4.0 of 10

    The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.

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