The Inhomogeneity Expansion for Planar Q.E.D in a Magnetic Background

Gat, Gil; Raval, Alpan; Ray, Rashmi

The Inhomogeneity Expansion for Planar Q.E.D in a Magnetic Background

Authors

Gat, Gil

Raval, Alpan

Ray, Rashmi

Description

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 $A_μ$ 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.
21pp, Latex, pictex,umd-pp-95-43