# Trans-Planckian Effects in Warm Inflation

## TL;DR

This paper investigates how choosing a non-trivial vacuum, specifically the $eta$-vacua, during warm inflation affects the curvature power spectrum, introducing oscillatory, scale-dependent corrections that could have observable implications.

## Contribution

It introduces a finite past initial condition using $eta$-vacua in warm inflation, revealing oscillatory, scale-dependent modifications to the power spectrum not accounted for in standard models.

## Key findings

- Oscillatory, scale-dependent corrections to the power spectrum.
- Potential observational signatures of trans-Planckian physics.
- Comparison with existing models and data.

## Abstract

We study the effect of a non-trivial vacuum prescription on warm inflation observables, namely the power spectrum of the comoving curvature perturbation. Non-trivial choice of vacuum, can provide information about trans-Planckian physics. Traditionally, the initial condition for inflation is chosen to be the usual Bunch-Davies vacuum. Another more reasonable choice of vacuum is the so-called $\alpha$-vacua. Because the duration of inflation is not infinite, as it is assumed in the Bunch-Davies case, imposing the initial condition at infinite past is not sensible and one must utilize another vacuum prescription. In this paper, working in the slow-roll regime during warm inflation, the initial condition for inflaton fluctuations is imposed at finite past, i.e. the $\alpha$-vacua. We show that this non-trivial vacuum prescription results in oscillatory correction to the comoving curvature power spectrum, which is scale dependent both in amplitude and frequency. Having obtained this scale dependent power spectrum, we consider its late time footprints and compare our results with observational data and other proposed models for the comoving curvature power spectrum.