Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-09
Phys.Rev.D78:063539,2008
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 4 figures, more details presented in string thermodynamics section, to be published in Physical Review D
Scientific paper
10.1103/PhysRevD.78.063539
We calculate the equation of state of a gas of strings at high density in a large toroidal universe, and use it to determine the cosmological evolution of background metric and dilaton fields in the entire large radius Hagedorn regime, (ln S)^{1/d} << R << S^{1/d} (with S the total entropy). The pressure in this regime is not vanishing but of O(1), while the equation of state is proportional to volume, which makes our solutions significantly different from previously published approximate solutions. For example, we are able to calculate the duration of the high-density "Hagedorn" phase, which increases exponentially with increasing entropy, S. We go on to discuss the difficulties of the scenario, quantifying the problems of establishing thermal equilibrium and producing a large but not too weakly-coupled universe.
Hindmarsh Mark
Skliros Dimitri
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