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arXiv · 1111.1366

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

Mikhail N. Smolyakov
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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 $γγ$ 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.

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Mikhail N. Smolyakov. 2012-10-30. On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall. https://doi.org/10.1103/physrevd.85.045036

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