Universal behavior of D-dimensional superstring models

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Field Theories In Dimensions Other Than Four, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We derive the asymptotic form cm-aebm of the density of states for general D-dimensional models of open and closed (super)strings. We find the leading behavior to be essentially model independent. It depends only on the (super)reparametrization properties of the world sheet and the value of the string mass scale (the Regge slope). We investigate the thermodynamic behavior of an ``ideal string gas'' implied by this density of states. Such a system is stable for all open strings as well as for closed strings with D<=3. In this case the Hagedorn temperature TH=1/b is the maximum temperature of the system. An ideal gas of closed strings with D>3 exhibits critical behavior at T=TH with the space-time dimension D determining the system's critical-point exponents. The possibility that T=TH is a multicritical point is also examined.

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