On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall
Abstract
In this paper a model describing fermions and gauge field localized on a domain wall is considered. The zero-mode sector of the model reproduces four-dimensional spinor electrodynamics. It is shown that in the resulting four-dimensional effective theory the lowest-order renormalized amplitude of the elastic scattering process is divergent due to the contributions of higher modes and thus such a scenario can not be considered as a realistic mechanism for fields localization on a domain wall.
Cite
@article{arxiv.1111.1366,
title = {On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall},
author = {Mikhail N. Smolyakov},
journal= {arXiv preprint arXiv:1111.1366},
year = {2012}
}
Comments
18 pages, LaTeX, 1 figure. Substantial revision of the text: derivation of the spectra of Kaluza-Klein modes corrected, four-dimensional effective Lagrangians corrected (four-dimensional degrees of freedom missed in the previous versions of the manuscript added), formulas for the amplitudes corrected, figure changed, one reference added, typos corrected