Inflation and Cyclotron Motion

TL;DR

This paper explores how a four-form gauge field in higher-dimensional braneworld cosmology induces inflation with cyclotron motion, relaxing flatness conditions on the inflaton potential and introducing quantum Landau level excitations.

Contribution

It demonstrates that coupling to a four-form gauge field enables inflation with cyclotron motion, relaxing traditional flatness constraints and revealing quantum Landau level effects.

Findings

Inflation occurs with cyclotron motion in the inflaton field space.

Conditions on potential flatness can be relaxed due to cyclotron effects.

Quantum Landau levels correspond to excitations of the inflaton field.

Abstract

We consider, in the context of a braneworld cosmology, the motion of the universe coupled to a four-form gauge field, with constant field strength, defined in higher dimensions. It is found, under rather general initial conditions, that in this situation there is a period of exponential inflation combined with cyclotron motion in the inflaton field space. The main effect of the cyclotron motion is that conditions on the flatness of the inflaton potential, which are typically necessary for exponential inflation, can be evaded. There are Landau levels associated with the four-form gauge field, and these correspond to quantum excitations of the inflaton field.