Spinodal Decomposition and Inflation: Dynamics and Metric Perturbations

Details Spinodal Decomposition and Inflation: Dynamics and Metric Perturbations Spinodal Decomposition and Inflation: Dynamics and Metric Perturbations

1999-12-22

arxiv.org/abs/hep-ph/9912483v1

Phys.Rev. D62 (2000) 023520

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 19 figures

Scientific paper

10.1103/PhysRevD.62.023520

We analyse the dynamics of spinodal decomposition in inflationary cosmology using the closed time path formalism of out of equilibrium quantum field theory combined with the non-perturbative Hartree approximation. In addition to a general analysis, we compute the detailed evolution of two inflationary models of particular importance: lambda Phi^4 new inflation and natural inflation. We compute the metric fluctuations resulting from inflationary phase transitions in the slow roll approximation, showing that there exists a regime for which quantum fluctuations of the inflaton field result in a significant deviation in the predictions of the spectrum of primordial density perturbations from standard results. We provide case examples for which a blue tilt to the power spectrum (i.e. n_s > 1) results from the evolution of a single inflaton field, and demonstrate that field fluctuations may result in a scalar amplitude of fluctuations significantly below standard predictions, resulting in a slight alleviation of the inflationary fine tuning problem. We show explicitly that the metric perturbation spectrum resulting from inflation depends upon the state at the outset of the inflationary phase.

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