Finite Temperature Aging Holography

TL;DR

This paper develops a gravity dual model for aging phenomena in field theories, capturing dissipative and scaling behaviors at both zero and finite temperatures through analytic and numerical analysis.

Contribution

It introduces a gravity background with aging invariance and constructs black hole solutions to study finite temperature aging dynamics.

Findings

Zero temperature two-time correlation exhibits power-law decay.

Finite temperature correlation functions show aging characteristics.

Black hole backgrounds with aging invariance are successfully constructed.

Abstract

We construct the gravity background which describes the dual field theory with aging invariance. We choose the decay modes of the bulk scalar field in the internal spectator direction to obtain the dissipative behavior of the boundary correlation functions of the dual scalar fields. In particular, the two-time correlation function at zero temperature has the characteristic features of the aging system: power law decay, broken time translation and dynamical scaling. We also construct the black hole backgrounds with asymptotic aging invariance. We extensively study characteristic behavior of the finite temperature two-point correlation function via analytic and numerical methods.