Abstract
In this paper, we consider a coupling mechanism between the kinetic term and the gravity, in which a coupling function F (R) is introduced into the kinetic term of the five-dimensional scalar field. Based on this scenario, we investigate the localization of scalar fields in three specific braneworld models: the Minkowski brane, the de Sitter brane, and the Anti-de Sitter brane. The brane models considered here are regular with no singularity for scalar curvature. For the Minkowshi brane case, the zero mode can always be localized on the brane, and the massive modes can be localized or quasi-localized on the brane. For the dS4 brane case, two forms of factor F (R) is considered. The zero mode can always be localized, and the massive modes could be quasi-localized on the brane. Besides, with the second coupling factor, the scalar zero mode could be localized on the both sides of the origin of extra dimension, while the massive modes could be quasi-localized on the origin. Lastly, for the AdS4 brane case, the localization of the scalar zero mode requires the consideration of a coupling potential V (Φ, φ), while the massive modes can still be localized on the brane with an infinite number.
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Acknowledgments
The authors are extremely grateful for the anonymous referees, whose comments led to the improvement of this paper. This work is supported by the National Natural Science Foundation of China (Grants No. 11305119), the Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2020JM-198), the Fundamental Research Funds for the Central Universities (Grants No. JB170502), and the 111 Project (B17035).
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Guo, H., Lu, YT., Wang, CL. et al. Localization of scalar field on the brane-world by coupling with gravity. J. High Energ. Phys. 2024, 114 (2024). https://doi.org/10.1007/JHEP06(2024)114
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DOI: https://doi.org/10.1007/JHEP06(2024)114