Magnetic permeability of constrained scalar QED vacuum
Abstract
We compute the influence of boundary conditions on the Euler-Heisenberg effective Lagrangian scalar QED scalar for the case of a pure magnetic field. The boundary conditions constrain the quantum scalar field to vanish on two parallel planes separeted by a distance and the magnetic field is assumed to be constant, uniform and perpendicular to the planes. The effective Lagrangian is obtained using Schwinger's proper-time representation and exhibits new contributions generated by the boundary condition much in the same way as a material pressed between two plates exhibits new magnetic properties. The confined bosonic vacuum presents the expected diamagnetic properties and besides the new non-linear -dependent contributions to the susceptibility we show that there exists also a new -dependent contribution for the vacuum permeability in the linear approximation.
Keywords
Cite
@article{arxiv.hep-th/9809216,
title = {Magnetic permeability of constrained scalar QED vacuum},
author = {M. V. Cougo-Pinto and C. Farina and M. R. Negrao and A. C. Tort},
journal= {arXiv preprint arXiv:hep-th/9809216},
year = {2007}
}
Comments
11 pages, revised and up dated version