Effect of massive potentials on the holographic thermalization

2017/10/16 by Nemati, Ali, Parvizi, Shahrokh
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1710.05712

Abstract

We perform a numerical study to recognize the difference between various massive potentials in the dRGT massive gravity on the holographic thermalization in the AdS and AdS Gauss-Bonnet gravities. The massive potential in 4+1 dimensions includes three symmetric polynomial terms which we denote them as a₁, a₂ and a₃ terms. We observe, in the case of time evolution of entanglement entropy that there is a critical size of the entangling surface on the boundary below which both signs of a₁ and above the critical size a₃ are able to reduce the thermal value of entanglement entropy. Our numerical computations show the more positive a_i's are, the faster system reaches to its thermal value. The order of saturation time of positive potentials when supplemented to AdS or AdS-GB backgrounds is as t_sat(a₁)>t_sat(a₂)>t_sat(a₃). We also explore these effects on the time evolution of the holographic mutual information.

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