Note on Warped Compactification -- Finite Brane Potentials and Non-Hermiticity --
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915034792198144 |
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| author | Girmohanta, Sudhakantha Nakai, Yuichiro Suzuki, Motoo Wang, Yaoduo Xu, Junxuan |
| author_facet | Girmohanta, Sudhakantha Nakai, Yuichiro Suzuki, Motoo Wang, Yaoduo Xu, Junxuan |
| contents | We study radius stabilization in the Randall-Sundrum model without assuming any unnaturally large stabilizing scalar potential parameter at the boundary branes ($γ$) by the frequently used superpotential method. Employing a perturbative expansion in $1/γ^2$ and the backreaction parameter, we obtain approximate analytical expressions for the radion mass and wavefunction. We validate them through a dedicated numerical analysis, which solves the linearized coupled scalar and metric field equations exactly. It is observed that the radion mass decreases with decreasing $γ$. Below a critical value of $γ$, the radion becomes tachyonic, suggesting destabilization of the extra dimension. We also address the issue of non-Hermiticity of the differential operator that determines the radion and Kaluza-Klein (KK) mode wavefunctions in the finite $γ$ limit. It is accomplished by finding an explicit form of the general scalar product that re-establishes the orthogonality in the KK decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on Warped Compactification -- Finite Brane Potentials and Non-Hermiticity -- Girmohanta, Sudhakantha Nakai, Yuichiro Suzuki, Motoo Wang, Yaoduo Xu, Junxuan High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We study radius stabilization in the Randall-Sundrum model without assuming any unnaturally large stabilizing scalar potential parameter at the boundary branes ($γ$) by the frequently used superpotential method. Employing a perturbative expansion in $1/γ^2$ and the backreaction parameter, we obtain approximate analytical expressions for the radion mass and wavefunction. We validate them through a dedicated numerical analysis, which solves the linearized coupled scalar and metric field equations exactly. It is observed that the radion mass decreases with decreasing $γ$. Below a critical value of $γ$, the radion becomes tachyonic, suggesting destabilization of the extra dimension. We also address the issue of non-Hermiticity of the differential operator that determines the radion and Kaluza-Klein (KK) mode wavefunctions in the finite $γ$ limit. It is accomplished by finding an explicit form of the general scalar product that re-establishes the orthogonality in the KK decomposition. |
| title | Note on Warped Compactification -- Finite Brane Potentials and Non-Hermiticity -- |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.05141 |