Abstract
In this paper we study the behavior of jet quenching parameter in the background metric with hyperscaling violation at finite temperature.The background metric is covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent z and hyperscaling exponent $\theta$. We evaluate the jet quenching parameter for certain range of these parameters consistent with the Gubser bound conditions in terms of T, z and $\theta$. We compare our results with those from conformal case and experimental data. Then we add a constant electric field to this background and find its effect on the jet quenching parameter.
Highlights
Holography is a powerful tool to map a D dimensional strongly coupled field theory at large N limit to a D + 1 dimensional gravitational theory at weak coupling [1,2,3,4]
We use the gauge/gravity duality to study the behavior of the jet quenching parameter in the background metric with hyperscaling violation at finite temperature with and without a constant B-field
The exponent z is the Lifshitz parameter and the exponent θ is the hyperscaling violation exponent, which is responsible for the non-standard scaling of physical quantities and controls the transformation of the metric
Summary
Holography is a powerful tool to map a D dimensional strongly coupled field theory at large N limit to a D + 1 dimensional gravitational theory at weak coupling [1,2,3,4]. We use the gauge/gravity duality to study the behavior of the jet quenching parameter in the background metric with hyperscaling violation at finite temperature with and without a constant B-field. 3, the holographic description of strongly coupled QFT has been applied to illustrate the behavior of the jet quenching parameter at finite temperature. 4, we add a constant B-field (electric field) to the background metric to estimate how the jet quenching parameter depends on the Hawking temperature and the electric field
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