On the Hagedorn Transition and Collective Dynamics of D0-branes

Details On the Hagedorn Transition and Collective Dynamics of D0-branes On the Hagedorn Transition and Collective Dynamics of D0-branes

1998-03-13

arxiv.org/abs/hep-th/9803120v3

Phys.Lett. B433 (1998) 301-306

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX, minor comment and references added, version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00703-5

Banks, Fischler, Klebanov and Susskind have proposed a model for black hole thermodynamics based on the principle that the entropy is of order the number of particles at the phase transition point in a Boltzmann gas of D0-branes. We show that the deviations from Boltzmann scaling found in $d<6$ noncompact spatial dimensions have a simple explanation in the analysis of self-gravitating random walks due to Horowitz and Polchinski. In the special case of $d=4$ we find evidence for the onset of a phase transition in the Boltzmann gas analogous to the well-known Hagedorn transition in a gas of free strings. Our result relies on an estimate of the asymptotic density of states in a dilute gas of D0-branes.

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