Holographic phase diagram of quark-gluon plasma formed in heavy-ion collisions

We construct shock waves for Lifshitz-like geometries in four-and fivedimensional effective theories as well as in D3-D7 and D4-D6 brane systems. The solutions to the domain wall profile equations are found. Further, the study makes a connection with the implications for the quark-gluon plasma formation in heavy-ion collisions. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface formed in shock wave collisions. We calculate the areas of trapped surfaces in the geometry of two colliding Lifshitz domain walls. Our estimates show that for five-dimensional cases with certain values of the critical exponent the dependence of multiplicity on the energy of colliding ions is rather close to the experimental data M ∼ s 0.15 observed at RHIC and LHC.

“…To simplify the holographic description of heavy-ion collisions one can use shock domain walls [53,56,58]. In this case eq.…”

Section: Jhep04(2015)011mentioning

confidence: 99%

Section: Shock Domain-wallmentioning

confidence: 99%

See 1 more Smart Citation

Shock waves in Lifshitz-like spacetimes

Aref’eva

Golubtsova²

2015

“…The issue was studied by implementing various approaches in the literature. In [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] the collisions of gravitational shock waves are introduced to mimic the colliding nuclei in the relativistic collisions. In [24,25] time-dependent and boost-invariant metrics, associated with the plasma undergoing Bjorken expansion, were investigated and further generalized in [26] with a chemical potential.…”

Section: Introductionmentioning

confidence: 99%

Jet quenching and holographic thermalization with a chemical potential

Cáceres

Kundu

Yang

2014

Abstract:We investigate jet quenching of virtual gluons and thermalization of a stronglycoupled plasma with a non-zero chemical potential via the gauge/gravity duality. By tracking a charged shell falling in an asymptotic AdS d+1 background for d = 3 and d = 4, which is characterized by the AdS-Reissner-Nordström-Vaidya (AdS-RN-Vaidya) geometry, we extract a thermalization time of the medium with a non-zero chemical potential. In addition, we study the falling string as the holographic dual of a virtual gluon in the AdS-RN-Vaidya spacetime. The stopping distance of the massless particle representing the tip of the falling string in such a spacetime could reveal the jet quenching of an energetic light probe traversing the medium in the presence of a chemical potential. We find that the stopping distance decreases when the chemical potential is increased in both AdS-RN and AdS-RN-Vaidya spacetimes, which correspond to the thermalized and thermalizing media respectively. Moreover, we find that the soft gluon with an energy comparable to the thermalization temperature and chemical potential in the medium travels further in the non-equilibrium plasma. The thermalization time obtained here by tracking a falling charged shell does not exhibit, generically, the same qualitative features as the one obtained studying non-local observables. This indicates that -holographically -the definition of thermalization time is observer dependent and there is no unambiguos definition.

“…From the present work, as well as from previous work on local quenches in 3d [29,30] and bounds on the entanglement propagation [16,17] we can expect that the non-equilibrium dynamics of entanglement will be more rich in higher dimensions. Also, the bilocal quench in AdS 5 /CFT 4 could serve as a viable more realistic holographic model of thermalization in heavy ion collisions [38,65].…”

mentioning

confidence: 99%

Thermalization after holographic bilocal quench

Aref’eva

Khramtsov

Tikhanovskaya

2017

We study thermalization in the holographic (1 + 1)-dimensional CFT after simultaneous generation of two high-energy excitations in the antipodal points on the circle. The holographic picture of such quantum quench is the creation of BTZ black hole from a collision of two massless particles. We perform holographic computation of entanglement entropy and mutual information in the boundary theory and analyze their evolution with time. We show that equilibration of the entanglement in the regions which contained one of the initial excitations is generally similar to that in other holographic quench models, but with some important distinctions. We observe that entanglement propagates along a sharp effective light cone from the points of initial excitations on the boundary. The characteristics of entanglement propagation in the global quench models such as entanglement velocity and the light cone velocity also have a meaning in the bilocal quench scenario. We also observe the loss of memory about the initial state during the equilibration process. We find that the memory loss reflects on the time behavior of the entanglement similarly to the global quench case, and it is related to the universal linear growth of entanglement, which comes from the interior of the forming black hole. We also analyze general two-point correlation functions in the framework of the geodesic approximation, focusing on the study of the late time behavior.