Anomalous currents in dense matter under a magnetic field

Understand

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.