The String Density of States from The Convolution Theorem

Abstract

We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system, we induce that, for infinite volume, there is no negative specific heat region but a transition at a finite value of the energy per string from the low energy regime to a region of infinite specific heat at the Hagedorn temperature. Forcing the description of this phase in terms of strings gives a picture in which there is a very fat string in a sea of low energetic ones. We argue that the necessary changing of this description should not change the fact that perturbatively $T_H$ is a maximum temperature of the system.

15 pages, LaTeX, epsf.sty and a4.sty, 5 figures in PostScript

References in corpus (1)

• A GAS OF D-INSTANTONS

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• Non-perturbative Thermodynamics in Matrix String Theory
• Thermodynamic nonextensivity in a closed string gas
• Educing the volume out of the phase space boundary