Anomalous currents in dense matter under a magnetic field

TL;DR

This paper investigates how dense fermionic matter under a magnetic field generates anomalous currents, showing they originate from the lowest Landau level and are unaffected by higher-loop corrections.

Contribution

It demonstrates that anomalous currents in dense matter are solely due to the lowest Landau level and are not modified beyond one-loop calculations.

Findings

Anomalous currents are generated along the magnetic field.

Only the lowest Landau level contributes to these currents.

Higher-loop corrections do not alter the anomalous currents.

Abstract

We consider fermionic dense matter under a magnetic field, where fermions couple minimally to gauge fields, and calculate anomalous currents at one loop. We find anomalous currents are spontaneously generated along the magnetic field but fermions only in the lowest Landau level contribute to anomalous currents. We then show that there are no more corrections to the anomalous currents from two or higher loops.