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Hauptverfasser:	Koike, M., Laquidain, X., Graham, N.
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Online-Zugang:	https://arxiv.org/abs/2409.03723
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

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author	Koike, M. Laquidain, X. Graham, N.
author_facet	Koike, M. Laquidain, X. Graham, N.
contents	Zero-point fluctuations in the background of a cosmic string provide an opportunity to study the effects of topology in quantum field theory. We use a scattering theory approach to compute quantum corrections to the energy density of a cosmic string, using the "ballpoint pen" and "flowerpot" models to allow for a nonzero string radius. For computational efficiency, we consider a massless field in $2+1$ dimensions. We show how to implement precise and unambiguous renormalization conditions in the presence of a deficit angle, and make use of Kontorovich-Lebedev techniques to rewrite the sum over angular momentum channels as an integral on the imaginary axis.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_03723
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Quantum Energy Density of Cosmic Strings with Nonzero Radius Koike, M. Laquidain, X. Graham, N. High Energy Physics - Theory General Relativity and Quantum Cosmology Zero-point fluctuations in the background of a cosmic string provide an opportunity to study the effects of topology in quantum field theory. We use a scattering theory approach to compute quantum corrections to the energy density of a cosmic string, using the "ballpoint pen" and "flowerpot" models to allow for a nonzero string radius. For computational efficiency, we consider a massless field in $2+1$ dimensions. We show how to implement precise and unambiguous renormalization conditions in the presence of a deficit angle, and make use of Kontorovich-Lebedev techniques to rewrite the sum over angular momentum channels as an integral on the imaginary axis.
title	Quantum Energy Density of Cosmic Strings with Nonzero Radius
topic	High Energy Physics - Theory General Relativity and Quantum Cosmology
url	https://arxiv.org/abs/2409.03723

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