Euclidean Path Integral, D0-Branes and Schwarzschild Black Holes in Matrix Theory

Details Euclidean Path Integral, D0-Branes and Schwarzschild Black Holes in Matrix Theory Euclidean Path Integral, D0-Branes and Schwarzschild Black Holes in Matrix Theory

1998-01-07

arxiv.org/abs/hep-th/9801023v1

Nucl.Phys. B522 (1998) 125-136

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex

Scientific paper

10.1016/S0550-3213(98)00255-7

The partition function in Matrix theory is constructed by Euclidean path integral method. The D0-branes, which move around in the finite region with a typical size of Schwarzschild radius, are chosen as the background. The mass and entropy of the system obtained from the partition function contain the parameters of the background. After averaging the mass and entropy over the parameters, we find that they match the properties of 11D Schwarzschild black holes. The period $\b$ of Euclidean time can be identified with the reciprocal of the boosted Hawking temperature. The entropy $S$ is shown to be proportional to the number $N$ of Matrix theory partons, which is a consequence of the D0-brane background.

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