Ultraviolet sensitivity of Casimir energy

Abstract We quantitatively estimate the effect of ultraviolet (UV) physics on the Casimir energy in a five-dimensional (5D) model on S1/Z2. If the cutoff scale of the 5D theory is not far from the compactification scale, the UV physics may affect the low-energy result. We work in the cutoff regulari...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2022-03, Vol.2022 (3)
Main Authors: Asai, Yu, Sakamura, Yutaka
Format: Article
Language:English
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Summary:Abstract We quantitatively estimate the effect of ultraviolet (UV) physics on the Casimir energy in a five-dimensional (5D) model on S1/Z2. If the cutoff scale of the 5D theory is not far from the compactification scale, the UV physics may affect the low-energy result. We work in the cutoff regularization scheme by introducing two independent cutoff scales for the spatial momentum in the non-compact space and for the Kaluza–Klein masses. The effects of the UV physics are incorporated as a damping effect of the contributions to the vacuum energy around the cutoff scales. We numerically calculate the Casimir energy and evaluate the deviation from the result obtained in the zeta-function regularization, which does not include information on the UV physics. We find that the result agrees well with the latter for Gaussian-type damping, while it can deviate for kink-type damping.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptac030