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2012

Quantum Fluctuations in Holographic Theories with Hyperscaling Violation

Edalati, Mohammad, Pedraza, Juan F., Garcia, Walter Tangarife

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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.

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