Anomaly-induced charges in baryons

TL;DR

This paper demonstrates that quantum chiral anomalies in QCD under magnetic fields induce electric charges within baryons, using the Skyrme model to quantify the effect and calculate the resulting charges.

Contribution

It introduces a novel anomaly-induced charge structure in baryons and employs the Skyrme model with a gauged Wess-Zumino term to analyze this phenomenon.

Findings

Induced electric charges depend on magnetic field strength.

Skyrmions develop local charge sources due to anomaly effects.

Quantitative estimates of charge for various baryons are provided.

Abstract

We show that quantum chiral anomaly of QCD in magnetic backgrounds induces a novel structure of electric charge inside baryons. To illustrate the anomaly effect, we employ the Skyrme model for baryons, with the anomaly-induced gauged Wess-Zumino term (\pi_0 + (multi-pion)) E_i B_i. Due to this term, the Skyrmions giving a local pion condensation ((\pi_0 + (multi-pion)) \neq 0) necessarily become a local charge source, in the background magnetic field B_i. We present detailed evaluation of the anomaly effects, and calculate the total induced charge, for various baryons in the magnetic field.