期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2010)069
关键词
Large Extra Dimensions; Field Theories in Higher Dimensions
资金
- Program for New Century Excellent Talents in University
- National Natural Science Foundation of China [10705013]
- Doctoral Program Foundation of Institutions of Higher Education of China [20070730055, 20090211110028]
- Chinese Ministry of Education [109153]
- Natural Science Foundation of Gansu Province, China [096RJZA055]
- Fundamental Research Funds for the Central Universities [lzujbky-2009-54]
In this paper, we consider a de Sitter thick brane model in a pure geometric Weyl integrable five-dimensional space-time, which is a generalization of Riemann geometry and is invariant under a so-called Weyl rescaling. We find a solution of this model via performing a conformal transformation to map the Weylian structure into a familiar Riemannian one with a conformal metric. The metric perturbations of the model are discussed. For gravitational perturbation, we get the effective modified Poschl-Teller potential in corresponding Schrodinger equation for Kaluza-Klein (KK) modes of the graviton. There is only one bound state, which is a normalizable massless zero mode and represents a stable 4-dimensional graviton. Furthermore, there exists a mass gap between the massless mode and continuous KK modes. We also find that the model is stable under the scalar perturbation in the metric. The correction to the Newtonian potential on the brane is proportional to e(-3r beta/2)/r(2), where beta is the de Sitter parameter of the brane. This is very different from the correction caused by a volcano-like effective potential.
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