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Fundamental energy scale of the thick brane in mimetic gravity
- Source :
- European Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-11 (2021), European Physical Journal
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
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, Po\"{o}schl-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 Newtonian potential. On a large scale, the corrections to the 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 Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as $k\gtrsim 10^{-4}$eV, and constraint on the corresponding five-dimensional fundamental scale as $M_\ast \gtrsim10^5$TeV.<br />Comment: 12 pages, 5 fugures
- Subjects :
- Physics
High Energy Physics - Theory
Newtonian potential
Physics and Astronomy (miscellaneous)
Scale (ratio)
Graviton
FOS: Physical sciences
QC770-798
General Relativity and Quantum Cosmology (gr-qc)
Astrophysics
General Relativity and Quantum Cosmology
QB460-466
High Energy Physics - Theory (hep-th)
Nuclear and particle physics. Atomic energy. Radioactivity
Brane cosmology
Tensor
Brane
Engineering (miscellaneous)
Scalar field
Harmonic oscillator
Mathematical physics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- European Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-11 (2021), European Physical Journal
- Accession number :
- edsair.doi.dedup.....7f6843b9649b68423c9702d6dc3dac68
- Full Text :
- https://doi.org/10.48550/arxiv.2005.08438