Critical gravitational collapse: towards a holographic understanding of the Regge region

Abstract

We study the possible holographic connection between the Regge limit in QCD and critical gravitational collapse of a perfect fluid in higher dimensions. We begin by analyzing the problem of critical gravitational collapse of a perfect fluid in any number of dimensions and numerically compute the associated Choptuik exponent in d=5, 6 and 7 for a range of values of the speed of sound of the fluid. Using continuous self-similarity as guiding principle, a holographic correspondence between this process and the phenomenon of parton saturation in high-energy scattering in QCD is proposed. This holographic connection relates strong gravitational physics in the bulk with (nonsupersymmetric) QCD at weak coupling in four dimensions.

81 pages, 31 figures

References in corpus (11)

• Calculating the Jet Quenching Parameter from AdS/CFT
• The Pomeron and Gauge/String Duality
• An AdS/CFT Calculation of Screening in a Hot Wind
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Saturation in Deep Inelastic Scattering from AdS/CFT
• Towards an S-matrix Description of Gravitational Collapse
• Scaling Phenomena in Gravity from QCD
• The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories
• The 5-D Choptuik critical exponent and holography
• BFKL Pomeron in string models
• Gluon Saturation and Black Hole Criticality

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• Holographic Signatures of Critical Collapse
• Analysis of Black Hole Solutions in Parabolic Class Using Neural Networks
• Nonlinear Statistical Spline Smoothers for Critical Spherical Black Hole Solutions in 4-dimension
• Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
• Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
• Modeling the complexity of Elliptic Black Hole Solution In 4D Using Hamiltonian Monte Carlo with Stacked Neural Networks
• Sequential Monte Carlo with Cross-validated Neural Networks for Complexity of Hyperbolic Black Hole Solutions in 4D
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory