Quantum Fluctuations in Holographic Theories with Hyperscaling Violation

TL;DR

This paper uses holographic techniques to analyze quantum critical points with hyperscaling violation, providing analytical two-point functions and revealing distinct late-time behaviors depending on parameters.

Contribution

It offers the first analytical expressions for two-point functions of fluctuations in hyperscaling violating backgrounds across various parameters.

Findings

Different late-time behaviors in two-point functions depending on { heta} and z.

Late-time dynamics become mass-independent when z+2{ heta}/d>2.

Analytical results extend understanding of quantum critical response in holography.

Abstract

In this short note we use holographic methods to study the response of quantum critical points with hyperscaling violation to a disturbance caused by a massive charged particle. We give analytical expressions for the two-point functions of the fluctuations of the massive probe as a function of arbitrary (allowed) values of the hyperscaling violation exponent {\theta} and the dynamical exponent z. We point out the existence of markedly different behaviors of the two-point functions in the parameter space of {\theta} and z at late times. In particular, as expected, the late-time dynamics of the probe becomes independent of its inertial mass in the range z+2{\theta}/d>2.