Abstract
We consider recently introduced solutions of Einstein gravity with minimally coupled massless scalars. The geometry is homogeneous, isotropic and asymptotically anti de-Sitter while the scalar fields have linear spatial-dependent profiles. The spatially-dependent marginal operators dual to scalar fields cause momentum dissipation in the deformed dual CFT. We study the effect of these marginal deformations on holographic entanglement measures and Wilson loop. We show that the structure of the universal terms of entanglement entropy for d > 2-dim deformed CFTs is corrected depending on the geometry of the entangling regions. In d = 2 case, the universal term is not corrected while momentum relaxation leads to a non-critical correction. We also show that decrease of the correlation length causes: the phase transition of holographic mutual information to happen at smaller separations and the confinement/deconfinement phase transition to take place at smaller critical lengths. The effective potential between point like external objects also gets corrected. We show that the strength of the corresponding force between these objects is an increasing function of the momentum relaxation parameter.
Highlights
We show that the structure of the universal terms of entanglement entropy for d > 2-dim deformed CFTs is corrected depending on the geometry of the entangling regions
We show that decrease of the correlation length causes: the phase transition of holographic mutual information to happen at smaller separations and the confinement/deconfinement phase transition to take place at smaller critical lengths
In what follows we study holographic entanglement entropy (HEE) in the model introduced in (2.2)
Summary
We introduce specific holographic models of our interest which are dual to quantum field theories in presence of momentum relaxation. In the general family of models with spatial dependent sources, we mainly consider one specific simple one. This model which we sometimes refer to it by the polynomial model is defined in (d + 1)-dimensions by the following action [21]1. An interesting generalization of the polynomial model is to consider asymptotically non-relativistic backgrounds which have nontrivial dynamical and hyperscaling violating exponents, z and θ. These kind of solutions are constructed by adding some axion fields to the EMD theories, and has been studied recently in [27]2 with the following action. Dimensional gravity solutions (d + 1)-dimensional dual field theories
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