Back to Search Start Over

Holographic chaos, pole-skipping, and regularity

Authors :
Natsuume, Makoto
Okamura, Takashi
Source :
Prog Theor Exp Phys (2020)
Publication Year :
2019

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.<br />Comment: 19 pages, PTEPHY; v2: a few clarifications, published version

Details

Database :
arXiv
Journal :
Prog Theor Exp Phys (2020)
Publication Type :
Report
Accession number :
edsarx.1905.12014
Document Type :
Working Paper
Full Text :
https://doi.org/10.1093/ptep/ptz155