Lack of initial conditions dependence of fluctuations in warm inflation

TL;DR

This paper clarifies that the fluctuations in warm inflation are independent of initial conditions and demonstrates that previous conflicting results stem from an incorrect formalism, reaffirming the established understanding of warm inflation dynamics.

Contribution

The paper identifies and corrects a formalism error in previous work, confirming the initial condition independence of fluctuations in warm inflation.

Findings

Correct dynamical equations show fluctuations are initial condition independent.

Previous formalism led to incorrect dependence on initial conditions.

Established results in warm inflation literature are validated.

Abstract

Warm inflation dynamics is fundamentally based on a system-reservoir configuration in which the dynamics is dictated by a fluctuation-dissipation relation. Recent work by Cerioni et. al. (arXiv:0804.0163) examined dissipative dynamics with no associated fluctuation component. Their results, which are heavily dependent on initial conditions, are at odds with results in the warm inflation literature, especially the spectral indices. The inconsistency of their formalism is outlined here and it is shown how this would lead to their erroneous conclusions. It is then shown how, following the correct dynamical equations of warm inflation, the results in the literature are correct.