U(1) Noncommutative Gauge Fields and Magnetogenesis

TL;DR

This paper explores how noncommutative geometry modifies U(1) gauge fields, leading to a tiny seed magnetic field that can grow, offering insights into magnetogenesis and Lorentz invariance violation.

Contribution

It establishes a connection between Lorentz violation and noncommutative gauge theories, deriving modified Maxwell equations with potential implications for cosmic magnetic field origins.

Findings

Modified Maxwell equations match other derivations

A static seed magnetic field naturally emerges

The seed magnetic field can grow over time

Abstract

The connection between the Lorentz invariance violation in the lagrangean context and the quantum theory of noncommutative fields is established for the U(1) gauge field. The modified Maxwell equations coincide with other derivations obtained using different procedures. These modified equations are interpreted as describing macroscopic ones in a polarized and magnetized medium. A tiny magnetic field (seed) emerges as particular static solution that gradually increases once the modified Maxwell equations are solved as a self-consistent equations system.