Pole skipping and chaos in anisotropic plasma: a holographic study

Author:

Sil Karunava

Abstract

Abstract Recently, a direct signature of chaos in many body system has been realized from the energy density retarded Green’s function using the phenomenon of ‘pole skipping’. Moreover, special locations in the complex frequency and momentum plane are found, known as the pole skipping points such that the retarded Green’s function can not be defined uniquely there. In this paper, we compute the correction/shift to the pole skipping points due to a spatial anisotropy in a holographic system by performing near horizon analysis of EOMs involving different bulk field perturbations, namely the scalar, the axion and the metric field. For vector and scalar modes of metric perturbations we construct the gauge invariant variable in order to obtain the master equation. Two separate cases for every bulk field EOMs is considered with the fluctuation propagating parallel and perpendicular to the direction of anisotropy. We compute the dispersion relation for momentum diffusion along the transverse direction in the shear channel and show that it passes through the first three successive pole skipping points. The pole skipping phenomenon in the sound channel is found to occur in the upper half plane such that the parameters Lyapunov exponent λL and the butterfly velocity vB are explicitly obtained thus establishing the connection with many body chaos.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 22 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Pole-skipping for massive fields and the Stueckelberg formalism;Journal of High Energy Physics;2024-07-26

2. Quantum chaos in the presence of nonconformality;Physical Review D;2024-07-26

3. Chaos near to the critical point: butterfly effect and pole-skipping;The European Physical Journal C;2024-05-14

4. Pole-skipping and chaos in hot$$\mathcal{M}{\text{QCD}}$$;Journal of High Energy Physics;2024-05-02

5. Probing pole-skipping through scalar Gauss-Bonnet coupling;Nuclear Physics B;2024-04

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