Towards a theory of Warm Inflation of the Universe

TL;DR

This paper extends the formalism of warm inflation without slow-roll restrictions, studying quantum-to-classical transition of fluctuations and showing radiation fluctuations decrease over time, ensuring thermal equilibrium at inflation's end.

Contribution

It introduces a new formalism for warm inflation that does not rely on the slow-roll approximation and analyzes the quantum to classical transition of fluctuations.

Findings

Radiation energy density fluctuations decrease over time.

Thermal equilibrium is maintained at the end of inflation.

The formalism allows analysis beyond slow-roll conditions.

Abstract

The warm inflation scenario is an alternative mechanism which can explain the isotropic and homogeneous Universe which we are living in. In this work I extend a previously introduced formalism, without the restriction of slow - roll regime. Quantum to classical transition of the fluctuations is studied by means of the "transition function" here introduced. I found that the fluctuations of radiation energy density decrease with time and the thermal equilibrium at the end of inflation holds.