Green's function for the scalar field in the early Universe

Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Theory Of Quantized Fields

Scientific paper

We derive the thermal Green's function for the scalar field in a de Sitter space-time and apply it to the problem of the early Universe. Field fluctuations relevant for inflation arise predominantly from wavelengths of the order of the inverse Hubble constant. Sufficient inflation is obtained in a Coleman-Weinberg model, provided the coupling constant is small enough. The results are insensitive to the choice of the vacuum of the field theory.

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