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

TL;DR

This paper explores how scalar and vector exchange contributions influence out-of-time-order correlators (OTOCs) in holography, revealing their connection to pole-skipping phenomena through a computational analysis of late-time exponential behaviors.

Contribution

It generalizes the relation between graviton exchange effects in OTOCs and pole-skipping to include scalar and vector fields in holographic models.

Findings

Exponential behaviors in scalar and vector exchange terms are linked to pole-skipping points.

The analysis extends the understanding of pole-skipping phenomena beyond graviton exchange.

Results are applicable to simple holographic models, indicating a broad relevance.

Abstract

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 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 vector fields.