Effective Energy for QED$_{2+1}$ with Semi-Localized Static Magnetic Fields: A Solvable Model
High Energy Physics - Theory
2010-01-08 v1 Condensed Matter
Abstract
We evaluate the exact 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 . 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.
Cite
@article{arxiv.hep-th/9506085,
title = {Effective Energy for QED$_{2+1}$ with Semi-Localized Static Magnetic Fields: A Solvable Model},
author = {Daniel Cangemi and Gerald Dunne and Eric D'Hoker},
journal= {arXiv preprint arXiv:hep-th/9506085},
year = {2010}
}
Comments
11 pages, no figure, RevTeX