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 Srepresentation. 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.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)00333X
 arXiv:
 arXiv:hepth/9701122
 Bibcode:
 1997PhLB..400..275M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages, LaTeX, epsf.sty and a4.sty, 5 figures in PostScript