Dynamics of Gauge Field Inflation

TL;DR

This paper investigates a gauge field-driven inflation model with fermion coupling, demonstrating a stable inflationary solution that does not rely on fine-tuning or special potentials, supported by analytical and numerical analysis.

Contribution

It introduces a novel gauge field inflation model with fermion coupling, showing the existence and stability of a unique attractor solution without fine-tuning.

Findings

Existence of a unique stable inflationary solution.

Inflation occurs without fine-tuning or special potentials.

Stability confirmed analytically and numerically.

Abstract

We analyze the existence and stability of dynamical attractor solutions for cosmological inflation driven by the coupling between fermions and a gauge field. Assuming a spatially homogeneous and isotropic gauge field and fermion current, the interacting fermion equation of motion reduces to that of a free fermion up to a phase shift. Consistency of the model is ensured via the Stuckelberg mechanism. We prove the existence of exactly one stable solution, and demonstrate the stability numerically. Inflation arises without fine tuning, and does not require postulating any effective potential or non-standard coupling.