Finite-temperature instability for compactification

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

Scientific paper

We consider finite-temperature effects upon theories with extra dimensions compactified via vacuum stress-energy (Casimir) effects. For sufficiently high temperature, a static configuration for the internal space is impossible. At somewhat lower temperatures, there is an instability due to thermal fluctuations of the radius of the compact dimensions. For both cases, the Universe can evolve to a de Sitter-type expansion of all dimensions. Stability to late times constrains the initial entropy of the Universe.

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