Decoupling structure of the principal sigma model-Maxwell interactions

TL;DR

This paper investigates the coupling between the principal sigma model and Maxwell fields, revealing a decoupling structure that separates scalar and gauge sectors, simplifying the understanding of their interactions.

Contribution

It introduces a first-order formulation that uncovers an implicit on-shell decoupling between scalars and gauge fields in the principal sigma model-Maxwell system.

Findings

Scalars belong solely to the sigma model sector.

Gauge fields form coupled Maxwell theories with scalar-induced currents.

Decoupling simplifies the analysis of the model's interactions.

Abstract

The principal sigma model and Abelian gauge fields coupling is studied. By expressing the first-order formulation of the gauge field equations an implicit on-shell scalar-gauge field decoupling structure is revealed. It is also shown that due to this decoupling structure the scalars of the theory belong to the pure sigma model and the gauge fields sector consists of a number of coupled Maxwell theories with currents partially induced by the scalars.