Pauli–Villars Regularization of Kaluza–Klein Casimir Energy with Lorentz Symmetry

Abstract The Pauli–Villars regularization is appropriate to discuss the UV sensitivity of low-energy observables because it mimics how the contributions of new particles at high energies cancel large quantum corrections from the light particles in the effective field theory. We discuss the UV sensit...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2024-04, Vol.2024 (4)
Main Authors: Matsui, Hiroki, Sakamura, Yutaka
Format: Article
Language:English
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Summary:Abstract The Pauli–Villars regularization is appropriate to discuss the UV sensitivity of low-energy observables because it mimics how the contributions of new particles at high energies cancel large quantum corrections from the light particles in the effective field theory. We discuss the UV sensitivity of the Casimir energy density and pressure in an extra-dimensional model in this regularization scheme, and clarify the condition on the regulator fields to preserve the Lorentz symmetry of the vacuum state. Some of the conditions are automatically satisfied in spontaneously broken supersymmetric models, but supersymmetry is not enough to ensure the Lorentz symmetry. We show that the necessary regulators can be introduced as bulk fields. We also evaluate the Casimir energy density with such regulators, and its deviation from the result obtained in the analytic regularization.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptae048