Holographic thermalization in Gauss–Bonnet gravity

Abstract

In the spirit of AdS/CFT correspondence, we study the thermalization of a dual conformal field theory to Gauss-Bonnet gravity by modeling a thin-shell of dust that interpolates between a pure AdS and a Gauss-Bonnet AdS black brane. The renormalized geodesic length and minimal area surface, which in the dual conformal field theory correspond to twopoint correlation function and expectation value of Wilson loop, are investigated respectively as thermalization probes. The result shows that as the Gauss-Bonnet coefficient increases, the thermalization time decreases for both the thermalization probes, which can also be confirmed by studying the motion profile of the geodesic and minimal area surface. In addition, for both the renormalized geodesic length and minimal area surface, there is an overlapped region for a fixed boundary separation, which implies that the Gauss-Bonnet coupling constant has little effect on the thermalization probes there.

Holographic thermalization in noncommutative geometry

“…3 In addition, for both the thermalization probes, we observe an overlapped region where the noncommutative parameter has few influence on them for a fixed boundary separation. In fact, this phenomenon has also been observed in modified gravity [35,36]. It is explained that this effect arises from the difference of the temperature of the dual conformal field for the thermalization only becomes fully apparent at distances of the order of the thermal screening length l D ∼ (π T ) −1 , where T is the temperature of the dual conformal field.…”

Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

“…We study holographic entanglement entropy in a dynamical (Vaydia type) scenario in Gauss-Bonnet gravity where the collapse of a null shell results in the formation of an asymptotically AdS black hole. Previous studies of HEE in this background have been focused on thermalization time of the field theory [10][11][12].…”

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

“…We will take the region γ to be a spherical cap on the boundary delimited by θ ≤ θ 0 . 8 Then based on the definition of area and (2.2), (3.8) can be rewritten as We will also employ Maxwell's equal area law to locate the first order phase transition temperature, namely T a in (b) 10) in which T (δS) is an interpolating function obtained from the numeric result, and δS min , δS max are the smallest and largest roots of the unstable regions, which satisfy the equation T (δS) = T x . Surely the values of the phase transition temperature T x depends on the choice of Q and b.…”

“…To probe these fascinating phenomena in field theory, one should employ some non-local observables such as equal time two point correlation function for a scalar operator, Wilson loop, and holographic entanglement entropy, which are dual to the geodesic length, minimal area, and minimal volume individually in the saddle point approximation. It has been shown that these observables can probe the nonequilibrium thermalization behavior [4][5][6][7][8][9][10][11][12][13][14][15], superconducting phase transition [16][17][18][19][20][21][22][23], and cosmological singularity [24,25].…”