On the corrections beyond proximity force approximation (PFA)
High Energy Physics - Theory
2015-05-30 v2 Quantum Physics
Abstract
We recalculate the first analytic correction beyond PFA for a sphere in front of a plane for a scalar field and for the electromagnetic field. We use the method of Bordag and Nikolaev [J.Phys.A, {\bf 41} (2008) p.164002]. We confirm their result for Dirichlet boundary conditions whereas we find a different one for Robin, Neumann and conductor boundary conditions. The difference can be traced back to a sign error. As a result, the corrections depend on the Robin parameter. Agreement is found with a very recent method of derivative expansion.
Cite
@article{arxiv.1110.5100,
title = {On the corrections beyond proximity force approximation (PFA)},
author = {L. P. Teo and M. Bordag and V. Nikolaev},
journal= {arXiv preprint arXiv:1110.5100},
year = {2015}
}
Comments
9 pages. Some changes in the conclusion