Holographic thermalization with Weyl corrections

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.

Thermodynamics, phase transition and quasinormal modes with Weyl corrections

“…In recent years, the effects of this term have been thoroughly studied in literature. For example, corrections to the diffusion constant and conductivity due to Weyl coupling constant γ have been considered in [40,41] and its effects in the process of holographic thermalization were studied in [42]. 1 The aim of this work is fourfold.…”

“…The above action can be greatly simplified if we consider a certain linear combination of the four derivative coupling constants. Following [38,39] and as elaborated in [42], we can write the action by choosing a specific combination of a 1 , a 2 and a 3 as…”

EM Duality and Quasinormal Modes from Higher Derivatives with Homogeneous Disorder

“…• At present, the perturbative black brane solution to the first order of the coupling parameter from 4 derivative theory has been worked out in [28,[33][34][35][36][37][38][39] and the related exploration, including holographic metal-insulator transition, holographic entanglement, holographic thermalization etc., at finite charge density on top of the perturbative background with HD correctons. In future, it is also interesting to further study the QNMs, including scalar, vector and tensor modes, from HD theory at finite charge density 5 .…”

Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation

“…Since the EOM (3) are a set of third order differential equations with high nonlinearity, it has been hard to solve it analytically or even numerically so far. So following the strategy in [14] (also see [38][39][40][41][42]), we shall construct analytical solutions up to the first order of those coupling parameters. 3 To this end, we take the following ansatz:…”

“…for instance see [14,[38][39][40][41][42] and the references therein. Especially, in [14], it is the first time that an MIT is realized in the framework of higher derivative gravity.…”