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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…

High Energy Physics - Theory · Physics 2025-09-23 Wen-Bin Pan , Ya-Wen Sun , Yuan-Tai Wang

The "pole-skipping" phenomenon reflects that the retarded Green's function is not unique at a pole-skipping point in momentum space $(\omega,k)$. We explore the universality of the pole-skipping in different geometries. In holography, near…

High Energy Physics - Theory · Physics 2021-07-14 Haiming Yuan , Xian-Hui Ge

(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…

High Energy Physics - Theory · Physics 2025-12-15 Richard A. Davison , Hanzhi Jiang

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…

High Energy Physics - Theory · Physics 2022-12-02 Diandian Wang , Zi-Yue Wang

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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 2023-08-31 Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Keun-Young Kim , Kyung-Sun Lee , Mitsuhiro Nishida

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…

High Energy Physics - Theory · Physics 2020-02-06 Makoto Natsuume , Takashi Okamura

The holographic gauge/gravity duality provides an explicit reduction of quantum field theory (QFT) calculations in the semi-classical large-$N$ limit to sets of `gravitational' differential equations whose analysis can reveal all details of…

High Energy Physics - Theory · Physics 2023-11-08 Sašo Grozdanov , Timotej Lemut , Juan F. Pedraza

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…

High Energy Physics - Theory · Physics 2024-06-07 Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Chang-Woo Ji , Keun-Young Kim , Mitsuhiro Nishida

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…

High Energy Physics - Theory · Physics 2024-03-22 Banashree Baishya , Kuntal Nayek

It remains unclear in general how the pole-skipping appears as a physical phenomenon, and we study the issue in the context of the AdS soliton. The pole-skipping has been discussed in black hole backgrounds, but the pole-skipping occurs…

High Energy Physics - Theory · Physics 2023-10-26 Makoto Natsuume , Takashi Okamura

The holographic system described by Einstein-Maxwell-Chern-Simons dynamics in the bulk of AdS exhibits a chiral magnetic effect and a quantum critical point. Through numerical calculations, we find that the butterfly velocity can serve as a…

High Energy Physics - Theory · Physics 2023-08-01 Navid Abbasi , Karl Landsteiner

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…

High Energy Physics - Theory · Physics 2020-08-26 Nejc Ceplak , Kushala Ramdial , David Vegh

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…

High Energy Physics - Theory · Physics 2020-02-06 Makoto Natsuume , Takashi Okamura

Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in $d$-dimensional conformal field…

High Energy Physics - Theory · Physics 2024-07-01 Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Keun-Young Kim , Kyung-Sun Lee , Mitsuhiro Nishida

We represent the first investigation of pole-skipping on both the gravity and field theory sides. In contrast to the higher dimensional models, there is no momentum degree of freedom in $(1+1)-$dimensional bulk theory. Thus, we then…

High Energy Physics - Theory · Physics 2023-08-30 Haiming Yuan , Xian-Hui Ge , Keun-Young Kim , Chang-Woo Ji , Yongjun Ahn

Using covariant expansions, recent work showed that pole skipping happens in general holographic theories with bosonic fields at frequencies $\mathrm{i}(l_b-s) 2\pi T$, where $l_b$ is the highest integer spin in the theory and $s$ takes all…

High Energy Physics - Theory · Physics 2024-01-04 Sirui Ning , Diandian Wang , Zi-Yue Wang

We outline a program for obtaining an action principle for dissipative fluid dynamics by considering the holographic Wilsonian renormalization group applied to systems with a gravity dual. As a first step, in this paper we restrict to…

High Energy Physics - Theory · Physics 2016-03-23 Michael Crossley , Paolo Glorioso , Hong Liu , Yifan Wang

A simple model of noninteracting electrons with a separable one-body potential is used to discuss the possible pole structure of single particle Green's functions for fermions on unphysical sheets in the complex frequency plane as a…

Strongly Correlated Electrons · Physics 2009-10-30 K. Schoenhammer

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…

Quantum Physics · Physics 2021-12-15 Makoto Natsuume , Takashi Okamura
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