Occupy magnetogenesis

TL;DR

This paper explores how occupation numbers of magnetic fields today and during inflation can reveal insights into inflationary magnetogenesis, highlighting the challenges in matching classical and quantum regimes within pure Maxwell theory in de Sitter space.

Contribution

It provides an overview of how occupation numbers serve as a diagnostic tool for understanding the quantum-to-classical transition in inflationary magnetogenesis.

Findings

Pure Maxwell theory in de Sitter space cannot match occupation numbers across epochs.

Occupation numbers distinguish between classical and quantum electromagnetic regimes.

Insights into the limitations of current magnetogenesis models.

Abstract

The occupation number of a field is a sound discriminator between classical and quantum regimes. In this pamphlet we give an overview of what we can learn about inflationary magnetogenesis just by looking at the occupation numbers of the classical magnetic fields observed today, and those of the quantum electromagnetic field during inflation. The sole occupation number behaviour dictates that for a pure Maxwell theory in de Sitter space it appears impossible to match the two epochs.