Fundamental energy scale of the thick brane in mimetic gravity

Abstract In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effe...

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Autores principales:	Tao-Tao Sui, Yu-Peng Zhang, Bao-Min Gu, Yu-Xiao Liu
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/6d4872b08a404de8a59c4ab2eda700cb
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spelling	oai:doaj.org-article:6d4872b08a404de8a59c4ab2eda700cb2021-11-14T12:13:51ZFundamental energy scale of the thick brane in mimetic gravity10.1140/epjc/s10052-021-09756-81434-60441434-6052https://doaj.org/article/6d4872b08a404de8a59c4ab2eda700cb2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09756-8https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effective potentials of the tensor perturbations exhibit as volcano potential, Poöschl–Teller potential, and harmonic oscillator potential for the three background solutions, respectively. All the tensor zero modes (massless gravitons) of the three cases can be localized on the brane. We also calculate the corrections to the four-dimensional Newtonian potential. On a large scale, the corrections to the four-dimensional Newtonian potential can be ignored. While on a small scale, the correction from the volcano-like potential is more pronounced than the other two cases. Combining the specific corrections to the four-dimensional Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as $$k > rsim 10^{-4}$$ k ≳ 10 - 4 eV, and constraint on the corresponding five-dimensional fundamental scale as $$M_* > rsim 10^5$$ M ∗ ≳ 10 5 TeV.Tao-Tao SuiYu-Peng ZhangBao-Min GuYu-Xiao LiuSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Tao-Tao Sui Yu-Peng Zhang Bao-Min Gu Yu-Xiao Liu Fundamental energy scale of the thick brane in mimetic gravity
description	Abstract In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effective potentials of the tensor perturbations exhibit as volcano potential, Poöschl–Teller potential, and harmonic oscillator potential for the three background solutions, respectively. All the tensor zero modes (massless gravitons) of the three cases can be localized on the brane. We also calculate the corrections to the four-dimensional Newtonian potential. On a large scale, the corrections to the four-dimensional Newtonian potential can be ignored. While on a small scale, the correction from the volcano-like potential is more pronounced than the other two cases. Combining the specific corrections to the four-dimensional Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as $$k > rsim 10^{-4}$$ k ≳ 10 - 4 eV, and constraint on the corresponding five-dimensional fundamental scale as $$M_* > rsim 10^5$$ M ∗ ≳ 10 5 TeV.
format	article
author	Tao-Tao Sui Yu-Peng Zhang Bao-Min Gu Yu-Xiao Liu
author_facet	Tao-Tao Sui Yu-Peng Zhang Bao-Min Gu Yu-Xiao Liu
author_sort	Tao-Tao Sui
title	Fundamental energy scale of the thick brane in mimetic gravity
title_short	Fundamental energy scale of the thick brane in mimetic gravity
title_full	Fundamental energy scale of the thick brane in mimetic gravity
title_fullStr	Fundamental energy scale of the thick brane in mimetic gravity
title_full_unstemmed	Fundamental energy scale of the thick brane in mimetic gravity
title_sort	fundamental energy scale of the thick brane in mimetic gravity
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/6d4872b08a404de8a59c4ab2eda700cb
work_keys_str_mv	AT taotaosui fundamentalenergyscaleofthethickbraneinmimeticgravity AT yupengzhang fundamentalenergyscaleofthethickbraneinmimeticgravity AT baomingu fundamentalenergyscaleofthethickbraneinmimeticgravity AT yuxiaoliu fundamentalenergyscaleofthethickbraneinmimeticgravity
_version_	1718429351662321664

Fundamental energy scale of the thick brane in mimetic gravity

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