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arXiv · 2102.07843

Retarded field of a uniformly accelerated source in non-local scalar field theory

Ivan Kolář·Jens Boos
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Abstract

We study the retarded field sourced by a uniformly accelerated particle in a non-local scalar field theory. While the presence of non-locality regularizes the field at the location of the source, we also show that Lorentz-invariant non-local field theories are particularly sensitive to the somewhat unphysical assumption of uniform acceleration, leading to logarithmic divergences on the acceleration horizon. Analytic properties of the non-local retarded Green function indicate that the divergences can be removed by placing appropriate sources on the acceleration horizon in the asymptotic past.

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Ivan Kolář, Jens Boos. 2021-02-15. Retarded field of a uniformly accelerated source in non-local scalar field theory. https://doi.org/10.1103/physrevd.103.105004

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