Cosmological aspects of the heterotic string above the Hagedorn temperature

Physics

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Canonical Formalism, Lagrangians, And Variational Principles, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We consider the cosmology of the heterotic string above the grand-unification scale taking into account the thermodynamical phase structure of an ideal gas of heterotic string excitations above the Hagedorn temperature. We find that the Universe expands up to a critical volume a9c above which the massive (Planckian) excitations should decay into massless excitations (nonequilibrium regime). The Universe then goes on expanding in a radiation-dominated phase with a scale factor a(t)~β(t). Because the heterotic string is self-dual with respect to temperature, it is argued that there is an induced duality relation for the scale factor a(t).

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