Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities

Abstract

It is expected that the Gregory-Laflamme (GL) instability in the black string in gravity is related to the Rayleigh-Plateau instability in fluid mechanics. Especially, the orders of the phase transitions associated with these instabilities depend on the number of the transverse space dimensions, and they are of first and second order below and above the critical dimension. Through the gauge-gravity correspondence, the GL instability is conjectured to be thermodynamically related to the Hagedorn instability in large-N gauge theories, and it leads to a prediction that the order of the confinement-deconfinement transition associated with the Hagedorn instability may depend on the transverse dimension. We test this conjecture in the D-dimensional bosonic D0-brane model using numerical simulation and the 1/D expansion, and confirm the expected D dependence.

5 pages, 11 figures, v3: minor corrections, published by PRL

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• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Black Holes as Lumps of Fluid
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• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• Progress and prospects of lattice supersymmetry
• Thermal phase transition in Yang-Mills matrix model
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Partial Deconfinement at Strong Coupling on the Lattice
• Nuclear states and spectra in holographic QCD
• Critical Dimension and Negative Specific Heat in One-dimensional Large-N Reduced Models
• Testing the holographic principle using lattice simulations
• The Confining Transition in the Bosonic BMN Matrix Model
• Instanton dynamics in finite temperature QCD via holography
• Thermodynamics of QCD from Sakai-Sugimoto Model
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• Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes
• Complex Langevin Method on Rotating Matrix Quantum Mechanics at Thermal Equilibrium
• D-dependence of gap between critical temperatures in one-dimensional gauge theories
• The nonperturbative phase diagram of the bosonic BMN matrix model
• Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential
• On Strongly Coupled Matrix Theory and Stochastic Quantization: A New Approach to Holographic Dualities
• Membrane Matrix models and non-perturbative checks of gauge/gravity duality
• Non-perturbative phase structure of the bosonic BMN matrix model