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

2008/04/09 by Luis Álvarez-Gaumé, Luis Alvarez-Gaume, Cesar Gomez +6
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Connection (principal bundle) #Cosmology and Gravitation Theories #Critical phenomena #Geometry #Gravitation #Gravitational collapse #High-Energy Particle Collisions Research #Holography #Particle physics #Phase transition #Physics #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2008.08.016

published as Nucl. Phys. B806 (2009) 327 · 81 pages, 31 figures

arxiv created 2008/04/09 · openalex publication_date 2008/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Pomeron and AdS/CFT Correspondence for QCD
• Renormalization group and critical behaviour in gravitational collapse
• Gluon Saturation and Black Hole Criticality
• Self-gravitating fundamental strings
• Asymptotic freedom in parton language
• Self-similarity in general relativity
• The dipole form of the BFKL kernel in supersymmetric Yang–Mills theories
• Universality and scaling in gravitational collapse of a massless scalar field
• Choptuik’s scaling in higher dimensions
• Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy
• Thermodynamics of black holes in anti-de Sitter space
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• BFKL Pomeron, Reggeized gluons, and Bern-Dixon-Smirnov amplitudes
• The large N limit of superconformal field theories and supergravity