Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary

TL;DR

This paper investigates how higher-derivative Gauss-Bonnet corrections influence holographic thermalization in a de Sitter boundary setting, revealing that increased coupling accelerates thermalization, especially evident in entanglement entropy dynamics.

Contribution

It introduces Gauss-Bonnet corrections in holographic models with de Sitter boundary and analyzes their impact on thermalization processes using multiple nonlocal observables.

Findings

Higher Gauss-Bonnet coupling shortens thermalization time.

Holographic entanglement entropy is most sensitive to coupling changes.

Thermalization dynamics depend on the type of nonlocal observable.

Abstract

We introduce higher-derivative Gauss-Bonnet correction terms in the gravity sector and we relate the modified gravity theory in the bulk to the strongly coupled quantum field theory on a de Sitter boundary. We study the process of holographic thermalization by examining three nonlocal observables, the two-point function, the Wilson loop and the holographic entanglement entropy. We study the time evolution of these three observables and we find that as the strength of the Gauss-Bonnet coupling is increased, the saturation time of the thermalization process to reach thermal equilibrium becomes shorter with the dominant effect given by the holographic entanglement entropy.