Holographic thermalization in noncommutative geometry

Abstract

Gravitational collapse of a shell of dust in noncommutative geometry is probed by the renormalized geodesic length, which is dual to probe the thermalization by the two-point correlation function in the dual conformal field theory. We find that larger the noncommutative parameter is, longer the thermalization time is, which implies that the large noncommutative parameter delays the thermalization process. We also investigate how the noncommutative parameter affects the thermalization velocity and thermalization acceleration.Comment: some materials have been delete

Nonlocal probes of thermalization in holographic quenches with spectral methods

“…We then go on to discuss the calculation of two-point function and entanglement entropy in the field theory using holographic methods. We then show that our results agree with the results in the literature [74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90], namely that wider probes have longer thermalization times than narrower ones.…”

“…Indeed, in [74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92] it was observed for Vaidya-type metrics that the theory thermalizes at the UV (short distance) range before thermalizing in the IR (large distance) range. The Vaidya approach [74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92] considers a thin planar collapsing shell of null dust in AdS spacetime (an expanding shell in its original construction [107]), which produces a metric outside the shell equal to that of an AdS-black brane, and leaves the inside of the shell to be that of empty AdS spacetime. While this may seem an exotic form of bulk matter to consider, these constructions can be related to a collapsing thin shell of a massless scalar field in AdS [37].…”

“…While in principle, the response of the one-point function depends on the whole range of energies from the IR to the UV, it cannot be used to distinguish between the different contributions from the different scales. It is therefore be interesting to employ nonlocal probes, as in [74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90], to study the thermalization process more carefully.…”

“…Initial work by [38][39][40] has lead to a large body of work in the field of quantum quenches of field theories at strong coupling, including . In the gravity dual of the quantum field theory, the quench usually has a simple geometric interpretation and is introduced, e.g., in the form of a gravitational shock wave collapsing into a black hole and a collapsing shell of matter described by the Vaidya metric, collapsing into a black hole [37,[74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92]. Applications of holographic quenches include quenches across phase transition points in the field theory [93,94], and to model hadron collisions in particle accelerators such as RHIC [95][96][97][98].…”

Influence of inhomogeneities on holographic mutual information and butterfly effect

“…[5,6]. Among these studies, one interesting thing is to adopt the HEE to probe the thermalization process or phase transitions in the strongly coupled systems [7][8][9][10][11][12][13][14][15][16][17].…”