Fundamental energy scale of the thick brane in mimetic gravity
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 pot...
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| Published in | The European physical journal. C, Particles and fields Vol. 81; no. 11; pp. 1 - 11 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.11.2021
Springer Springer Nature B.V SpringerOpen |
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| 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
≳
10
-
4
eV, and constraint on the corresponding five-dimensional fundamental scale as
M
∗
≳
10
5
TeV. |
|---|---|
| AbstractList | 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≳10-4eV, and constraint on the corresponding five-dimensional fundamental scale as M∗≳105TeV. 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 ≳ 10 - 4 eV, and constraint on the corresponding five-dimensional fundamental scale as M ∗ ≳ 10 5 TeV. 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. 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. 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 [Formula omitted]eV, and constraint on the corresponding five-dimensional fundamental scale as [Formula omitted]TeV. |
| ArticleNumber | 980 |
| Audience | Academic |
| Author | Zhang, Yu-Peng Gu, Bao-Min Sui, Tao-Tao Liu, Yu-Xiao |
| Author_xml | – sequence: 1 givenname: Tao-Tao surname: Sui fullname: Sui, Tao-Tao organization: Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, Joint Research Center for Physics, Lanzhou University, Joint Research Center for Physics, Qinghai Normal University, Lanzhou Center for Theoretical Physics, Lanzhou University – sequence: 2 givenname: Yu-Peng surname: Zhang fullname: Zhang, Yu-Peng organization: Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, Joint Research Center for Physics, Lanzhou University, Joint Research Center for Physics, Qinghai Normal University, Lanzhou Center for Theoretical Physics, Lanzhou University – sequence: 3 givenname: Bao-Min surname: Gu fullname: Gu, Bao-Min organization: Department of Physics, Nanchang University – sequence: 4 givenname: Yu-Xiao surname: Liu fullname: Liu, Yu-Xiao email: liuyx@lzu.edu.cn organization: Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, Joint Research Center for Physics, Lanzhou University, Joint Research Center for Physics, Qinghai Normal University, Lanzhou Center for Theoretical Physics, Lanzhou University |
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| Snippet | In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane... Abstract In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick... |
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| SubjectTerms | Astronomy Astrophysics and Cosmology Asymptotic properties Branes Elementary Particles Gravitons Hadrons Harmonic oscillators Heavy Ions Lagrange multiplier Mathematical analysis Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Perturbation Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics Scalars String Theory Tensors Volcanoes |
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| Title | Fundamental energy scale of the thick brane in mimetic gravity |
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