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

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

1994-09-11

arxiv.org/abs/hep-th/9409059v1

Physics

High Energy Physics

High Energy Physics - Theory

21pp, Latex, pictex,umd-pp-95-43

Scientific paper

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 $A_{\mu}$ 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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