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

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, inhomogeneous magnetic fields are also presented.