Holographic Thermalization with Weyl Corrections

TL;DR

This paper investigates how Weyl corrections in five-dimensional AdS space influence holographic thermalization, analyzing the effects on correlation functions, Wilson loops, and thermalization times in the dual field theory.

Contribution

It introduces a perturbative Weyl corrected black brane solution and constructs an AdS-Vaidya like solution to study thermalization with Weyl corrections.

Findings

Weyl corrections modify thermalization time scales.

The interplay between Weyl coupling and chemical potential affects thermalization.

Numerical analysis shows changes in correlation functions and Wilson loops.

Abstract

We consider holographic thermalization in the presence of a Weyl correction in five dimensional AdS space. We first obtain the Weyl corrected black brane solution perturbatively, up to first order in the coupling. The corresponding AdS-Vaidya like solution is then constructed. This is then used to numerically analyze the time dependence of the two point correlation functions and the expectation values of rectangular Wilson loops in the boundary field theory, and we discuss how the Weyl correction can modify the thermalization time scales in the dual field theory. In this context, the subtle interplay between the Weyl coupling constant and the chemical potential is studied in detail.