4.4 Article

Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2021)092

Keywords

Gauge-gravity correspondence; Holography and condensed matter physics (AdS; CMT)

Funding

  1. Basic Science Research Program through the National Research Foundation of Korea(NRF) - Ministry of Science, ICT & Future Planning [NRF-2021R1A2C1006791]
  2. GIST Research Institute(GRI) - GIST in 2021
  3. Basic Science Research Program through the National Research Foundation of Korea(NRF) - Ministry of Education [NRF-2020R1I1A1A01072726]
  4. National Research Foundation of Korea [2020R1I1A1A01072726] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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The researchers studied exponential behaviors of scalar and vector exchange terms in out-of-time-order correlators (OTOCs) holographically, showing that these behaviors are related to pole-skipping points in simple holographic models. This generalizes the relation observed between graviton exchange effect in OTOCs and pole-skipping phenomena of the dual operator to scalar and vector fields.
We study scalar and vector exchange terms in out-of-time-order correlators (OTOCs) holographically. By applying a computational method in graviton exchange, we analyze exponential behaviors in scalar and vector exchange terms at late times. We show that their exponential behaviors in simple holographic models are related to pole-skipping points obtained from the near-horizon equations of motion of scalar and the vector fields. Our results are generalizations of the relation between the graviton exchange effect in OTOCs and the pole-skipping phenomena of the dual operator, to scalar and the vector fields.

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