Evidence for fast thermalization in the BMN matrix model

Details Evidence for fast thermalization in the BMN matrix model Evidence for fast thermalization in the BMN matrix model

2011-04-28

arxiv.org/abs/1104.5469v2

Phys. Rev. Lett. 107, 171602 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 5 figures, revtex4 format. v2: minor typos fixed

Scientific paper

10.1103/PhysRevLett.107.171602

We perform a numerical simulation of the classical evolution of the BMN matrix model with semiclassical initial conditions. Some of these initial conditions thermalize and are dual to a black hole forming from the collision of D-branes in the plane wave geometry. In particular, we consider a large fuzzy sphere (a D2-brane) plus a single eigenvalue (a D0-particle) going exactly through the center of the fuzzy sphere and aimed to intersect it. Including quantum fluctuations of the off-diagonal modes in the initial conditions, with sufficient kinetic energy the configuration collapses to a small size. We also find evidence for fast thermalization: rapidly decaying autocorrelation functions at late times with respect to the natural time scale of the system.

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