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Pole-skipping refers to the special phenomenon that the pole and the zero of a retarded two-point Green's function coincide at certain points in momentum space. We study the pole-skipping phenomenon in holographic Green's functions of…

高能物理 - 理论 · 物理学 2025-09-23 Wen-Bin Pan , Ya-Wen Sun , Yuan-Tai Wang

We explore a new class of general properties of thermal holographic Green's functions that can be deduced from the near-horizon behaviour of classical perturbations in asymptotically anti-de Sitter spacetimes. We show that at negative…

高能物理 - 理论 · 物理学 2020-01-29 Mike Blake , Richard A. Davison , David Vegh

The pole-skipping is a universal property of Green's functions at strong coupling found by the AdS/CFT duality. There is a conventional formalism of the pole-skipping, but it relies on the existence of a "master variable." Namely, it is…

高能物理 - 理论 · 物理学 2025-12-18 Makoto Natsuume , Takashi Okamura

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…

高能物理 - 理论 · 物理学 2020-02-06 Makoto Natsuume , Takashi Okamura

In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we study the pole-skipping phenomenon of the holographic correlators of boundary operators. We explore the locations of the pole-skipping points case by case with…

高能物理 - 理论 · 物理学 2023-04-18 Yuan-Tai Wang , Wen-Bin Pan

We clarify general mathematical and physical properties of pole-skipping points. For this purpose, we analyse scalar and vector fields in hyperbolic space. This setup is chosen because it is simple enough to allow us to obtain analytical…

高能物理 - 理论 · 物理学 2023-08-31 Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Keun-Young Kim , Kyung-Sun Lee , Mitsuhiro Nishida

(1+1)d QFTs provide a tractable arena for understanding the emergence of hydrodynamics in thermal states. At high temperatures this process is governed by the weak breaking of conformal symmetry, and so in this limit many features of the…

高能物理 - 理论 · 物理学 2025-12-15 Richard A. Davison , Hanzhi Jiang

We point out little discussed phenomenon in elementary quantum mechanics. In one-dimensional potential scattering problems, the scattering amplitudes are not uniquely determined at special points in parameter space. We examine a few…

量子物理 · 物理学 2021-12-15 Makoto Natsuume , Takashi Okamura

We examine thermal Green's functions of fermionic operators in quantum field theories with gravity duals. The calculations are performed on the gravity side using ingoing Eddington-Finkelstein coordinates. We find that at negative imaginary…

高能物理 - 理论 · 物理学 2020-08-26 Nejc Ceplak , Kushala Ramdial , David Vegh

The holographic phenomena of pole skipping have been studied in the presence of scalar-Gauss-Bonnet interaction in the four-dimensional Anti-de Sitter-Schwarzchild black hole background. Pole skipping points are special points in phase…

高能物理 - 理论 · 物理学 2024-03-22 Banashree Baishya , Kuntal Nayek

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…

高能物理 - 理论 · 物理学 2020-02-06 Makoto Natsuume , Takashi Okamura

In this note we analyse the equations of motion of a minimally coupled Rarita-Schwinger field near the horizon of an anti-de Sitter-Schwarzschild geometry. We find that at special complex values of the frequency and momentum there exist two…

高能物理 - 理论 · 物理学 2021-05-19 Nejc Ceplak , David Vegh

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical…

高能物理 - 理论 · 物理学 2021-08-11 Daniel Arean , Richard A. Davison , Blaise Goutéraux , Kenta Suzuki

We propose a method to reconstruct the metric and its arbitrary-order derivatives at the horizon for any static, planar-symmetric black hole, using an infinite set of discrete pole-skipping points in momentum space where the boundary…

高能物理 - 理论 · 物理学 2026-02-16 Zhenkang Lu , Cheng Ran , Shao-feng Wu

We study the mechanisms setting the radius of convergence of hydrodynamic dispersion relations in kinetic theory in the relaxation time approximation. This introduces a qualitatively new feature with respect to holography: a nonhydrodynamic…

高能物理 - 理论 · 物理学 2021-06-08 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

We study the pole-skipping phenomenon within holographic axion theories, a common framework for studying strongly coupled systems with chemical potential ($\mu$) and momentum relaxation ($\beta$). Considering the backreaction characterized…

高能物理 - 理论 · 物理学 2024-06-07 Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Chang-Woo Ji , Keun-Young Kim , Mitsuhiro Nishida

We study pole skipping in holographic CFTs dual to diffeomorphism invariant theories containing an arbitrary number of bosonic fields in the large $N$ limit. Defining a weight to organize the bulk equations of motion, a set of general…

高能物理 - 理论 · 物理学 2022-12-02 Diandian Wang , Zi-Yue Wang

We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations of the hydrodynamic modes on the complex…

高能物理 - 理论 · 物理学 2020-12-02 Aron Jansen , Christiana Pantelidou

Pole skipping is a recently discovered subtle effect in the thermal energy density retarded two point function at a special point in the complex $(\omega,p)$ planes. We propose that pole skipping is determined by the stress tensor…

高能物理 - 理论 · 物理学 2021-03-17 Changha Choi , Márk Mezei , Gábor Sárosi

We study boundary Green's functions for spacetimes with non-relativistic scaling symmetry. For this class of backgrounds, scalar modes with large transverse momentum, or equivalently low frequency, have an exponentially suppressed imprint…

高能物理 - 理论 · 物理学 2015-06-19 Cynthia Keeler , Gino Knodel , James T. Liu
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