Vacuum polarization from confined fermions in 3 + 1 dimensions

Abstract

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.

11 pages, LaTeX, 2 figures

References in corpus (3)

• New Developments in the Casimir Effect
• Functional approach to the fermionic Casimir effect
• Vacuum polarization in $d+1/2$ dimensions

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