Noncompact KK theory of gravity: stochastic treatment for a nonperturbative inflaton field in a de Sitter expansion

TL;DR

This paper develops a stochastic formalism for analyzing the inflaton field nonperturbatively within a noncompact Kaluza-Klein gravity framework during de Sitter inflation, bypassing the slow-roll approximation.

Contribution

It introduces a novel stochastic approach to nonperturbative inflaton dynamics in noncompact KK gravity during inflation.

Findings

Provides a nonperturbative stochastic model for inflaton in KK theory

Demonstrates inflationary dynamics without slow-roll approximation

Offers insights into quantum fluctuations during de Sitter expansion

Abstract

We study a stochastic formalism for a nonperturbative treatment of the inflaton field in the framework of a noncompact Kaluza-Klein (KK) theory during an inflationary (de Sitter) expansion, without the slow-roll approximation.