The Inhomogeneity Expansion for Planar Q.E.D in a Magnetic Background
Gil Gat, Alpan Raval, Rashmi Ray
Abstract
The effective action for Q.E.D in external magnetic field is constructed using the method of inhomogeneity expansion. We first treat the non-relativistic case where a Chern-Simons like term is generated. We then consider the full relativistic theory and derive the effective action for the Aμ fields. In the non-relativistic case we also add a 4-fermi type interaction and show that under certain circumstances, it corresponds to a Zeeman type term in the effective action.
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