{"title":"Steadiness of Stabilized Randall–Sundrum Model with Respect to Casimir Effect","authors":"E. R. Rakhmetov, I. P. Volobuev, S. I. Keizerov","doi":"10.1134/S1063779624701363","DOIUrl":null,"url":null,"abstract":"<p>The paper considers the Casimir effect in the stabilized Randall–Sundrum model, which arises due to the propagation of the gravitational field and the Goldberger–Wise scalar field in the five-dimensional bulk between two branes. The Casimir energy density of the scalar modes is calculated analytically. Using the dimensional regularization method and writing the regularized energy density as the Hurwitz zeta function, divergences are identified and the Casimir energy density of the scalar modes is renormalized. Similar estimates are made for the Casimir energy density of tensor modes. An estimate of the Casimir effect is made considering all the modes on the equations and parameters of the model. It is found that such quantum corrections do not change the form of the solution of the equations of motion of the model and lead only to a negligible decrease in the background scalar field on the Planck brane and the distance between the branes; i.e., the model is stable with respect to the Casimir effect.</p>","PeriodicalId":729,"journal":{"name":"Physics of Particles and Nuclei","volume":"56 2","pages":"168 - 172"},"PeriodicalIF":0.6000,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063779624701363","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper considers the Casimir effect in the stabilized Randall–Sundrum model, which arises due to the propagation of the gravitational field and the Goldberger–Wise scalar field in the five-dimensional bulk between two branes. The Casimir energy density of the scalar modes is calculated analytically. Using the dimensional regularization method and writing the regularized energy density as the Hurwitz zeta function, divergences are identified and the Casimir energy density of the scalar modes is renormalized. Similar estimates are made for the Casimir energy density of tensor modes. An estimate of the Casimir effect is made considering all the modes on the equations and parameters of the model. It is found that such quantum corrections do not change the form of the solution of the equations of motion of the model and lead only to a negligible decrease in the background scalar field on the Planck brane and the distance between the branes; i.e., the model is stable with respect to the Casimir effect.
期刊介绍：
The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.
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