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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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 81; no. 11; pp. 1 - 11
Main Authors Sui, Tao-Tao, Zhang, Yu-Peng, Gu, Bao-Min, Liu, Yu-Xiao
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2021
Springer
Springer Nature B.V
SpringerOpen
Subjects
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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Summary: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.
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ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-021-09756-8