Holographic chaos, pole-skipping, and regularity

Abstract

We investigate the "pole-skipping" phenomenon in holographic chaos. According to the pole-skipping, the energy-density Green's function is not unique at a special point in complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.

19 pages, PTEPHY; v2: a few clarifications, published version

References in corpus (3)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Many-body chaos and energy dynamics in holography
• The complex life of hydrodynamic modes

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