# Backreaction of particle production on physical gravitons in the de Sitter space

## TL;DR

This paper investigates how scalar particle production influences the behavior of physical gravitons in de Sitter space, focusing on sub-horizon modes and calculating first-order corrections to the energy-momentum tensor and graviton operator.

## Contribution

It provides a detailed derivation of the backreaction effects of scalar particle production on gravitons in de Sitter space, specifically for sub-horizon modes at large conformal times.

## Key findings

- Calculated the correction to the scalar energy-momentum tensor at first order.
- Derived the correction to the graviton operator for a single sub-horizon mode.
- Analyzed effects in the large conformal time limit.

## Abstract

We derive the effects of the scalar particle production on the physical graviton operator in the de Sitter space. Our analysis is done for the sub-horizon modes at large values of the conformal time. In this limit, we completely determine the correction to the scalar energy-momentum tensor at the first order in the WKB iteration. Also, we calculate the corresponding correction to the graviton operator for a single sub-horizon mode.