Warm inflation: Towards a realistic COBE data power spectrum for matter and metric thermal coupled fluctuations

TL;DR

This paper analyzes a warm inflation model incorporating thermal coupled fluctuations, assessing its power spectrum against COBE data, and finds that metric fluctuation amplitudes are very small at horizon entry for typical temperatures.

Contribution

It introduces a warm inflation model with thermal coupled fluctuations and evaluates its power spectrum in light of COBE data, highlighting the small amplitude of metric fluctuations.

Findings

Metric fluctuation amplitude is very small at horizon entry.

The model accounts for thermal coupled fluctuations in warm inflation.

Power spectrum analysis aligns with COBE data expectations.

Abstract

I consider the COBE data coarse-grained field that characterize the now observable universe for a model of warm inflation which takes into account the thermal coupled fluctuations of the scalar field with the thermal bath. The power spectrum for both, matter and metric fluctuations are analyzed. I find that the amplitude for the fluctuations of the metric when the horizon entry, should be very small for the expected values of temperature.