Grand canonical potential of a magnetized neutron gas

TL;DR

This paper calculates the grand canonical potential of a magnetized neutron gas, including vacuum corrections, which is relevant for understanding magnetic effects in neutron stars.

Contribution

It introduces a method to compute the effective action and grand potential for neutral fermions in magnetic fields, accounting for vacuum corrections.

Findings

Derived the effective action for magnetized neutral fermions.

Calculated the grand canonical potential including vacuum effects.

Discussed potential applications to neutron star physics.

Abstract

We compute the effective action for stationary and spatially constant magnetic fields, when coupled anomalously to charge neutral fermions, by integrating out the fermions. From this the grand canonical partition function and potential of the fermions and fields are computed. This also takes care of magnetic field dependent vacuum corrections to the grand canonical potential. Possible applications to neutron stars are indicated.