Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry

Fuente: arXiv
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Autori principali: Matsui, Hiroki, Sakamura, Yutaka
Natura: Preprint
Pubblicazione: 2024
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author Matsui, Hiroki
Sakamura, Yutaka
author_facet Matsui, Hiroki
Sakamura, Yutaka
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_00056
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry
Matsui, Hiroki
Sakamura, Yutaka
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
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.
title Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2402.00056