Quantum Energy Density of Cosmic Strings with Nonzero Radius
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913853725474816 |
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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 |