Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
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.
Keywords
Cite
@article{arxiv.1210.6993,
title = {Quantum Fluctuations in Holographic Theories with Hyperscaling Violation},
author = {Mohammad Edalati and Juan F. Pedraza and Walter Tangarife Garcia},
journal= {arXiv preprint arXiv:1210.6993},
year = {2013}
}
Comments
10 pages. v2: typos corrected and some references added. v3: version to appear in PRD