How homogeneous was the Universe at the time of a grand-unified-theory phase transition\?

Physics

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Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We study the evolution of a small, causally connected region of the Universe, beginning at very early time. Matter is described by massless, scalar ``electrodynamics'' with conformally invariant coupling between quantum fields and a metric. Gauge symmetry is broken by the Coleman-Weinberg mechanism at the grand-unified-theory scale. The initial state is fixed by the requirement that thermal fluctuations of the expectation of the scalar field were small. We study the evolution of these fluctuations and of induced metric perturbations. We show that they decreased quickly and that the state of matter just before the phase transition could have been fairly homogeneous, which is a necessary condition for inflation. We also describe a new method of doing finite-temperature calculations in an expanding spacetime, based on a generalization of the thermo field dynamics.

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