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 θ and the dynamical exponent z. We point out the existence of markedly different behaviors of the two-point functions in the parameter space of θ 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+2θ/d>2.

10 pages. v2: typos corrected and some references added. v3: version to appear in PRD

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• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Fluctuation and dissipation within a deformed holographic model with backreaction
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• Diving inside holographic metals
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Hydrodynamics in black brane with hyperscaling violation metric background
• Quantum fluctuations and thermal dissipation in higher derivative gravity
• Effects of hyperscaling violation and dynamical exponents on drag force
• Anisotropic critical points from holography
• Langevin diffusion in holographic backgrounds with hyperscaling violation
• On the Rényi entropy of Lifshitz and hyperscaling violating black holes
• Bosonic and Fermionic Holographic Fluctuation and Dissipation at finite temperature and density