Phase Diagram for Nflation

TL;DR

This paper explores the phase diagram of Nflation, revealing a large N phase transition where the inflation phase vanishes beyond a critical number of fields, and discusses related entropy bounds.

Contribution

It provides a detailed phase diagram for Nflation and analyzes the entropy bound near the critical point, highlighting the saturation of dS entropy.

Findings

Identification of a large N phase transition in Nflation

The slow roll inflation phase disappears beyond a critical number of fields

Near the critical point, the number of fields saturates the dS entropy

Abstract

Recently, it was showed that there is a large N phase transition in Nflation, in which when the number of fields is large enough, the slow roll inflation phase will disappear. In this brief report, we illustrate the phase diagram for Nflation, and discuss the entropy bound and some relevant results. It is found that near the critical point the number of fields saturates dS entropy.