Stochastic inflation with quantum and thermal noise

TL;DR

This paper extends the stochastic inflation framework by incorporating thermal noise into the Starobinsky equation, analyzing its effects on inflation duration and primordial fluctuations.

Contribution

It introduces a novel approach combining quantum and thermal noise in stochastic inflation models, providing new insights into inflationary dynamics and perturbation spectra.

Findings

Thermal noise influences the number of e-folds during inflation.

Power spectrum and spectral index are affected by combined quantum and thermal fluctuations.

The model offers a more comprehensive understanding of inflationary perturbations.

Abstract

We add a thermal noise to Starobinsky equation of slow roll inflation. We calculate the number of e-folds of the stochastic system. The power spectrum and the spectral index are evaluated from the fluctuations of e-folds using an expansion in the quantum and thermal noise terms.