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

Gil Gat; Alpan Raval; Rashmi Ray

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arXiv · hep-th/9409059

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

Gil Gat·Alpan Raval·Rashmi Ray

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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 $A_μ$ 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.

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Gil Gat, Alpan Raval, Rashmi Ray. 1994-09-11. The Inhomogeneity Expansion for Planar Q.E.D in a Magnetic Background. https://arxiv.org/abs/hep-th/9409059

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