Effective Energy for QED2+1 with Semi-Localized Static Magnetic Fields: A Solvable Model
Daniel Cangemi, Gerald Dunne, Eric D'Hoker
Abstract
We evaluate the exact QED2+1 effective energy for charged spin zero and spin half fields in the presence of a family of static magnetic field profiles localized in a strip of width λ. The exact result yields an infinite set of relations between the terms in the derivative expansion of the effective energy for a general magnetic field. Upon addition of the standard Maxwell magneto-static energy, the minimum energy configuration at fixed flux corresponds to a uniform magnetic field.
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