Axion-fermion Coupling and Dyon Charge as Physical Signatures of a Space-time Inner Symmetry

TL;DR

This paper explores the connection between axion-like particles, fermion phases, and dyon charges within a space-time inner symmetry framework, using Maxwell's theory and semiclassical analysis to identify physical signatures.

Contribution

It provides new identifications linking axion-like phases to fermion couplings and dyon charges, extending previous work with alternative theoretical perspectives.

Findings

Axion-like phase-fermion coupling identified via Dirac theory.

Dyon charge emerges in fermion-photon systems in flat universe.

Witten effect appears under chiral symmetry conditions.

Abstract

In this paper we intend to complement the identification given in Kuerten & Fernandes-Silva [1] (Mod. Phys. Lett. A. Vol. 33, No. 16) which relates the axion to a metric spinor phase by means of Maxwell's theory in the Infeld-van der Waerden's {\gamma}-formalism. Thus, we obtain two alternative identifications: the first focuses on Dirac's theory so that when obtaining an axion-like phase-fermion coupling, we achieve the first identification, and the last one investigates the phase behavior under Peccei-Quinn rotations in order to show that the phase changes as an axion pseudoparticle. With the formal aspects established, we also study the semiclassical fermion-photon system to demonstrate that the magnetic monopole current defined in [1] has dyon charge in flat universe and acquires a Witten effect form when there is a demand for chiral symmetry.