# On Stochastic Effects and Primordial Black-Hole Formation

## TL;DR

This paper demonstrates that large quantum fluctuations during inflation significantly increase the predicted abundance of primordial black holes, using advanced non-perturbative stochastic inflation techniques.

## Contribution

It introduces a novel non-perturbative approach combining stochastic inflation, replica field theory, and the Feynman-Jensen method to analyze black-hole formation.

## Key findings

- Primordial black-hole abundance is amplified by several orders of magnitude.
- Quantum fluctuations have a significant impact on black-hole formation predictions.
- The method provides a new framework for non-perturbative analysis in inflationary cosmology.

## Abstract

The effect of large quantum fluctuations on primordial black-hole formation during an inflationary phase along a plateau is investigated. By using techniques of stochastic inflation in combination with replica field theory and the Feynman-Jensen variational method, it is non-perturbatively demonstrated that the abundance of primordial black holes is amplified by several orders of magnitude as compared to the classical computation.