Vacuum polarization from confined fermions in 3 + 1 dimensions

Details Vacuum polarization from confined fermions in 3 + 1 dimensions Vacuum polarization from confined fermions in 3 + 1 dimensions

2010-03-05

arxiv.org/abs/1003.1264v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, 2 figures

Scientific paper

We study the main properties of the one-loop vacuum polarization function for massless spinor QED4 in a slab, namely, with fields defined on M in R^(3+1), such that M = {(x0, ..., x3)|0 <= x3 <= epsilon}, and bag-like boundary conditions on the boundary. We evaluate the induced charge density and current due to an external constant electric field normal to the boundary; we also study the effective action for a purely transverse field, identifying its epsilon-dependent contribution.

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