paper

Chiral limit of the two-dimensional fermionic determinant in a general magnetic field

arXiv:hep-th/9911131 · doi:10.1063/1.533204

Abstract

We consider the effective action for massive two-dimensional QED in flat Euclidean space-time in the background of a general square-integrable magnetic field with finite range. It is shown that its small mass limit is controlled by the chiral anomaly. New results for the low-energy scattering of electrons in 2+1 dimensions in static, inhomogenous magnetic fields are also presented.

The interpretation of Eq.(2.14) is elucidated

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