Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-01-17
Phys.Rev.D78:025008,2008
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 7 figures, revtex. v2: minor corrections
Scientific paper
10.1103/PhysRevD.78.025008
We study various correlation functions (two and three point functions) in a large $N$ matrix model of six commuting matrices with a numerical Monte Carlo algorithm. This is equivalent to a model of a gas of particles in six dimensions with a confining quadratic potential and logarithmic repulsions at finite temperature, where we are measuring the leading order non-gaussianities in the thermal fluctuations. This is a simplified model of the low energy dynamics of N=4 SYM at strong coupling. We find strong evidence that the simplified matrix model matches with the dual gravitational description of three point functions in the AdS/CFT correspondence.
Berenstein David
Cotta Randel
Leonardi Rodrigo
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