Modeling heavy ion collisions in AdS/CFT

Albacete, Javier L.; Kovchegov, Yuri V.; Taliotis, Anastasios

doi:10.1088/1126-6708/2008/07/100

Cited by 87 publications

(166 citation statements)

References 103 publications

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“…One of this kind is the double shockwave metric [6][7][8][9][10][11][12][13][14][15][16], motivated by understanding thermalization in heavy-ion collisions(see [17] for a recent review). Of course one can also start from the gravity side by constructing consistent initial conditions for Einstein's equations.…”

Section: Introductionmentioning

confidence: 99%

On holographic thermalization and gravitational collapse of massless scalar fields

2012

J. High Energ. Phys.

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In this paper we study thermalization in a strongly coupled system via AdS/CFT.Initially, the energy is injected into the system by turning on a spatially homogenous scalar source coupled to a marginal composite operator. The thermalization process is studied by numerically solving Einstein's equations coupled to a massless scalar field in the Poincare patch of AdS 5 . We define a thermalization time t T on the AdS side, which has an interpretation in terms of a spacelike Wilson loop W (l ≃ 1 T ) in CFT. Here T is the thermal equilibrium temperature. We study both cases with the source turned on in short(∆t T . In the latter case, we find double-and multiple-collapse solutions, which may be interpreted as the gravity duals of two-or multi-stage thermalization in CFT.In all the cases our results indicate that such a strongly coupled system thermalizes in a typical time scale t T ≃ O(1)

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Section: Introductionmentioning

confidence: 99%

On holographic thermalization and gravitational collapse of massless scalar fields

2012

J. High Energ. Phys.

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“…L is the radius of AdS 5 . µ is proportional to the stress energy tensor T i j of the target (nucleus) [6] and only the T −− component is non zero. The longitudinal extent of the nucleus is denoted by a and behaves as a ∝ A 1/3 Λ/s.…”

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confidence: 99%

Deep Inelastic Scattering from the AdS/CFT correspondence

Taliotis

2009

Nuclear Physics A

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We calculate [1] the cross section of an ultra relativistic nucleus scattering on a qq pair at large coupling in N=4 SUSY gauge theory. We study the problem in the context of the AdS/CFT correspondence [2]. The nucleus is modeled as a gravitational shockwave in an AdS 5 background moving along the light cone. The dipole (qq) is represented by a Wilson loop moving in the opposite direction. Due to the correspondence, calculating the scattering amplitude of the Wilson loop with the nucleus, reduces to calculating the extreme value of the Nambu-Goto action for an open string. Its two end points are attached to the qq respectively and it hangs in an AdS 5 shockwave spacetime. Six solutions are found two of which are physically meaningful. Both solutions predict that the saturation scale Q s at high enough energies becomes energy independent; in particular it behaves as Q s ∝ A 1/3 where A is the atomic number. One solution predicts pomeron intercept α p = 2 and agrees with [3]. However, there is a parameter window of r (dipole size) and s (c.m. energy) where it violates the black disk limit. On the other hand, the other solution respects this limit and corresponds to pomeron intercept α p = 1.5. We conjecture that this is the right value for gauge theories at strong coupling. In this paper we investigate the DIS of a (virtual) photon that splits into a qq pair and scatters on a large nucleus (Fig. 1). The coupling is tuned to be large and is constant throughout the interaction because the β-function of N=4 SUSY theories is zero. We calculate the non-abelian part of the cross section which factors asΦ encodes all the QED effects while N is the forward scattering amplitude of the interaction. Here Q 2 ∝ 1/r 2 (transverse dipole size) and Y = ln1/x B j with x B j the Bjorken-x. The above equation assumes the following approximations: Infinitely large nucleus in the transverse directions and therefore the impact parameter plays an overall (trivial) multiplicative role. This is precisely the meaning of the denominator on the left hand side of the (1). Also we suppose a homogeneous nucleus which implies the problem has no angular dependence as the dipole's orientation is irrelevant. Lastly we ignore time effects by considering a large enough extent of the nucleus along its direction of motion. This last approximation allows us to search for a static string

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“…To represent a heavy ion collision using the AdS/CFT duality we will use gravitational shock waves moving at the speed of light in AdS 5 [10][11][12][13][14]; in the CFT these correspond to lumps of energy moving at the speed of light, in this case in the strongly coupled, large-N c limit of N = 4 SU(N c ) SYM, with N c the number of colors. These collisions hence do not directly model collisions in real-world QCD, but they nevertheless can give general insights of colliding lumps of energies in strongly coupled gauge theories (see [15][16][17] for reviews of AdS/CFT and heavy ion collisions).…”

Section: Colliding Planar Shock Waves In Adsmentioning

confidence: 99%

Complexified boost invariance and holographic heavy ion collisions

Gubser

Schee

2015

J. High Energ. Phys.

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At strong coupling holographic studies have shown that heavy ion collisions do not obey normal boost invariance. Here we study a modified boost invariance through a complex shift in time, and show that this leads to surprisingly good agreement with numerical holographic computations. When including perturbations the agreement becomes even better, both in the hydrodynamic and the far-from-equilibrium regime. One of the main advantages is an analytic formulation of the stress-energy tensor of the longitudinal dynamics of holographic heavy ion collisions.

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Modeling heavy ion collisions in AdS/CFT

Cited by 87 publications

References 103 publications

On holographic thermalization and gravitational collapse of massless scalar fields

On holographic thermalization and gravitational collapse of massless scalar fields

Deep Inelastic Scattering from the AdS/CFT correspondence

Complexified boost invariance and holographic heavy ion collisions

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