The String Density of States from The Convolution Theorem

Details The String Density of States from The Convolution Theorem The String Density of States from The Convolution Theorem

1997-01-23

arxiv.org/abs/hep-th/9701122v1

Phys.Lett. B400 (1997) 275-283

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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