Anomaly inflow on QCD axial domain-walls and vortices

TL;DR

This paper investigates how anomalies and charge conservation are manifested in QCD systems with axial domain-walls and vortices, revealing novel anomaly-induced currents and the role of vortex singularities in gauge invariance.

Contribution

It introduces new terms in the gauged Wess-Zumino-Witten action to account for vortex singularities, elucidating anomaly inflow mechanisms in QCD with topological defects.

Findings

Novel anomaly-induced currents along vortices.

Gauge invariance requires new terms from vortex singularities.

Charge conservation is maintained via anomaly inflow mechanisms.

Abstract

We study the chiral effective theory in the presence of QCD vortices. Gauge invariance requires novel terms from vortex singularities in the gauged Wess-Zumino-Witten action, which incorporate anomaly induced currents along the vortices. We examine these terms for systems with QCD axial domain-walls bounded by vortices (vortons) under magnetic fields. We discuss how the baryon and the electric charge conservations are satisfied in these systems through interplay between domain-walls and vortices, which manifests Callan-Harvey's mechanism of the anomaly inflow.