A Numerical Simulation of Chern-Simons Inflation

TL;DR

This paper numerically simulates the Chern-Simons Inflation Model, confirming that gauge fields driven by Chern-Simons interactions can produce sufficient inflation with about 60 e-folds, supporting the model's viability.

Contribution

First numerical simulation confirming the Chern-Simons inflation mechanism and its ability to generate sufficient inflation with realistic parameters.

Findings

Energy transfer into superhorizon scales confirmed

Inflation ends after approximately 60 e-folds

Chiral anomaly effects are crucial for ending inflation

Abstract

In this work, we present results of numerical simulations of the Chern-Simons Inflation Model proposed by Alexander, Marciano and Spergel. According to this model, inflation begins with a fermion condensate interacting with a gauge field. Crucial to the success of this mechanism is the assumption that the Chern-Simons interaction would drive energy from the initial random spectrum into a narrow band of frequencies at superhorizon scales. In this work we numerically confirm this expectation. These gauge fields and currents, when combined with the Friedmann equations, were broken into a system of hyperbolic equations and numerically simulated. It was found in our simulation that, by including the effects of the chiral anomaly for the axial vector current, inflation ended satisfactorily after approximately 60 e-folds.