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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1998-25
October 1998

Thermodynamics of D0-branes in matrix theory


Jan Ambjørn

Y. M. Makeenko, G. W. Semenoff


We examine the matrix theory representations of D0-brane dynamics at finite temperature. In this case, violation of supersymmetry by temperature leads to a non-trivial static potential between D0-branes at any finite temperature. We compute the static potential in the 1-loop approximation and show that it is short-ranged and attractive. We compare the result with the computations in superstring theory. We show that thermal states of D0-branes can be reproduced by matrix theory only when certain care is taken in integration over the moduli space of classical solutions in compactified time.

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This paper has now been published in Phys. Lett. B 445 (1999), no. 3-4, 307--315