Testing the AdS∕CFT Correspondence

Klebanov, Igor R.; Edelstein, José D.; Grandi, Nicolás; Núñez, Carmen; Schvellinger, Martín

doi:10.1063/1.2972014

Cited by 5 publications

(10 citation statements)

References 64 publications

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“…[2] for a review). This departure is indeed very close to the exact 25% value found from AdS/CFT, which is rigorously valid at infinite coupling (see Igor Klebanov's article in this volume [3]).…”

Section: The Phenomenon Of Jet Quenchingsupporting

confidence: 80%

Jet Quenching in Heavy Ion Collisions from AdS∕CFT

Salgado¹,

Edelstein²,

Grandi³

et al. 2008

AIP Conference Proceedings

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The phenomenon of jet supression observed in highly energetic heavy ion collisions is discussed. The focus is devoted to the stunning applications of the AdS/CFT correspondence [1] to describe these real time processes, hard to be illuminated by other means. In particular, the introduction of as many flavors as colors into the quark-gluon plasma is scrutinized.One of the most recent surprises in particle physics came from the results of the Relativistic Heavy Ion Collider (RHIC), indicating that hadronic matter at temperatures slightly above the crossover critical temperature, T c , may be a strongly coupled quarkgluon plasma (sQGP). Naive expectations pointed towards a free gas of quarks and gluons or quasi-particles, a picture that can be understood from perturbative calculations of thermodynamic quantities such as the equation of state. These perturbative methods fail, however, at low temperatures, close to T c , where lattice QCD simulations are employed instead. Although the underlying dynamical picture is difficult to infer from these numerical results, the findings at RHIC are in qualitative agreement with the ∼ 20% departure from the ideal gas, Steffan-Boltzmann law, predicted from lattice (see e.g. [2] for a review). This departure is indeed very close to the exact 25% value found from AdS/CFT, which is rigorously valid at infinite coupling (see Igor Klebanov's article in this volume [3]).Several observable consequences of the creation of this new state of matter are measured at RHIC as probes to characterize its properties. Among them, we focus in the present article in the supression of the inclusive cross-section at large transverse momentum, p t , so-called jet quenching. In the absence of any nuclear effect, the cross section to produce a particle with high transverse momentum in heavy ion collisions should scale with the number of elementary interactions. However, a strong supression is found experimentally, the resulting particle production being about 20% of the expected value. This dramatic departure from the naive expectation can be understood as being due to the energy loss of highly energetic partons traversing the medium created by the collision (see e.g.[4] for a recent review).Another interesting observation in the high-p t region of the spectrum is a supression 207 CP1031, Ten Years of AdS/CFT, edited by

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Section: The Phenomenon Of Jet Quenchingsupporting

confidence: 80%

Jet Quenching in Heavy Ion Collisions from AdS∕CFT

Salgado¹,

Edelstein²,

Grandi³

et al. 2008

AIP Conference Proceedings

Self Cite

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“…In this case the AdS/CFT dictionary is very well understood and many non-trivial tests have given agreement between the two sides of the correspondence [14]. Can we however think of SYM as a toy model for QCD?…”

Section: Sym Vs Qcdmentioning

confidence: 99%

The AdS∕CFT Correspondence and Non-perturbative QCD

Edelstein

Shock

Zoakos

2009

PARTICLES AND FIELDS: Proceedings of the XIII Mexican School of Particles and Fields

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“…In a seemingly different context, Brigante et al [9,10] explored the addition of a Gauss-Bonnet term in the gravity side of the AdS/CFT correspondence and showed that, in the background of a black hole, the coefficient of this term, λ, is bounded from above, λ ≤ 9/100, in order to preserve causality at the boundary. 2 If this bound is disregarded, boundary perturbations would propagate at superluminal velocities. A natural question is immediately raised as for whether this quadratic curvature corrections arise in the string theory framework.…”

Section: Introductionmentioning

confidence: 99%

“…The relation between causality and 1 The conformal anomaly of a four-dimensional CFT can be obtained by computing the trace of the stress-energy tensor in a curved spacetime [6] T µ µ CFT = c 16π 2 I4 − a 16π 2 E4 , (1.1) where c and a are the central charges, and E4 and I4 correspond to the four-dimensional Euler density and the square of the Weyl curvature. 2 Indeed, this is more general since any other curvature squared term can be reduced to Gauss-Bonnet by field redefinitions disregarding higher powers of the curvature. See for instance [9].…”

Section: Introductionmentioning

confidence: 99%

Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity

Camanho

Edelstein

2010

J. High Energ. Phys.

179

169

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We explore the relation between positivity of the energy constraints in conformal field theories and causality in their dual gravity description. Our discussion involves CFTs with different central charges whose description, in the gravity side, requires the inclusion of quadratic curvature corrections. It is enough, indeed, to consider the GaussBonnet term. We find that both sides of the AdS/CFT correspondence impose a restriction on the Gauss-Bonnet coupling. In the case of 6d supersymmetric CFTs, we show the full matching of these restrictions. We perform this computation in two ways. First by considering a thermal setup in a black hole background. Second by scrutinizing the scattering of gravitons with a shock wave in AdS. The different helicities provide the corresponding lower and upper bounds. We generalize these results to arbitrary higher dimensions and comment on some hints and puzzles they prompt regarding the possible existence of higher dimensional CFTs and the extent to which the AdS/CFT correspondence would be valid for them.

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Testing the AdS∕CFT Correspondence

Cited by 5 publications

References 64 publications

Jet Quenching in Heavy Ion Collisions from AdS∕CFT

Jet Quenching in Heavy Ion Collisions from AdS∕CFT

The AdS∕CFT Correspondence and Non-perturbative QCD

Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity

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