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

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

2011-11-06

arxiv.org/abs/1111.1366v2

Phys.Rev.D85:045036,2012

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, 1 figure. v2: typos corrected, minor changes in the text

Scientific paper

10.1103/PhysRevD.85.045036

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.

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