Magnetic Permeability of Constrained Fermionic Vacuum

Details Magnetic Permeability of Constrained Fermionic Vacuum Magnetic Permeability of Constrained Fermionic Vacuum

1997-11-26

arxiv.org/abs/hep-th/9711190v3

Phys.Lett.B434:388-395,1998

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTex, 1 postscript figure, Phys. Let. B in press, slight text revisions, references added

Scientific paper

10.1016/S0370-2693(98)00683-2

We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle through anti-periodic boundary condition. Aside of higher order non-linear field effects we identify a novel contribution to the vacuum permeability. These contributions are exceedingly small for normal electromagnetism due to the smallness of the electron Compton wavelength compared to the size of the compactified dimension, if we take the latter as the typical size of laboratory cavities, but their presence is thought provoking, also considering the context of strong interactions.

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