Warming up cold inflation
William DeRocco, Peter W. Graham, Saarik Kalia

TL;DR
This paper investigates how axion-based inflation models can naturally develop a thermal bath during inflation, significantly affecting their dynamics and observational predictions, and maps the parameter space where this warm inflation occurs.
Contribution
It demonstrates that axion inflation can become warm across a wide parameter space, challenging the assumption of cold inflation in these models.
Findings
Thermal baths can form for various initial conditions.
Axion inflation becomes warm over a large range of couplings.
Many models previously considered cold are actually warm, requiring reevaluation.
Abstract
The axion is a well-motivated candidate for the inflaton, as the radiative corrections that spoil many single-field models are avoided by virtue of its shift symmetry. However, axions generically couple to gauge sectors. As the axion slow-rolls during inflation, this coupling can cause the production of a non-diluting thermal bath, a situation known as "warm inflation." This thermal bath can dramatically alter inflationary dynamics and observable predictions. In this paper, we demonstrate that a thermal bath can form for a wide variety of initial conditions. Furthermore, we find that axion inflation becomes warm over a large range of couplings, and explicitly map the parameter space for two axion inflation potentials. We show that in large regions of parameter space, axion inflation models once assumed to be safely "cold" are in fact warm, and must be reevaluated in this context.
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