The Hagedorn Transition and the Matrix Model for Strings

Details The Hagedorn Transition and the Matrix Model for Strings The Hagedorn Transition and the Matrix Model for Strings

1998-05-20

arxiv.org/abs/hep-th/9805126v4

Mod.Phys.Lett. A13 (1998) 2085-2094

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex file. One reference added

Scientific paper

10.1142/S0217732398002205

We use the Matrix formalism to investigate what happens to strings above the Hagedorn temperaure. We show that it is not a limiting temperature but a temperature at which the continuum string picture breaks down. We study a collection of $N$ D-0-branes arranged to form a string having $N$ units of light cone momentum. We find that at high temperatures the favoured phase is one where the string world sheet has disappeared and the low energy degrees of freedom consists of $N^2$ massless particles (``gluons''). The nature of the transition is very similar to the deconfinement transition in large-N Yang Mills theories.

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