1111.1366 (Mikhail N. Smolyakov)

On unremovable divergencies in four-dimensional electrodynamics
localized on a domain wall    [PDF]

Mikhail N. Smolyakov

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 $\gamma\gamma$ 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.

View original: http://arxiv.org/abs/1111.1366