Note on warped compactification. Finite brane potentials and non-Hermiticity
Abstract 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 ob...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)229 |
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| _version_ | 1850162705555521536 |
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| author | Sudhakantha Girmohanta Yuichiro Nakai Motoo Suzuki Yaoduo Wang Junxuan Xu |
| author_facet | Sudhakantha Girmohanta Yuichiro Nakai Motoo Suzuki Yaoduo Wang Junxuan Xu |
| author_sort | Sudhakantha Girmohanta |
| collection | DOAJ |
| description | Abstract 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 | Article |
| id | doaj-art-2b039ad7d7f14d0da8b080564faeb823 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2b039ad7d7f14d0da8b080564faeb8232025-08-20T02:22:29ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024812010.1007/JHEP08(2024)229Note on warped compactification. Finite brane potentials and non-HermiticitySudhakantha Girmohanta0Yuichiro Nakai1Motoo Suzuki2Yaoduo Wang3Junxuan Xu4Tsung-Dao Lee Institute, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityDepartment of Physics, Harvard UniversityTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityAbstract 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.https://doi.org/10.1007/JHEP08(2024)229Extra DimensionsField Theories in Higher DimensionsClassical Theories of Gravity |
| spellingShingle | Sudhakantha Girmohanta Yuichiro Nakai Motoo Suzuki Yaoduo Wang Junxuan Xu Note on warped compactification. Finite brane potentials and non-Hermiticity Journal of High Energy Physics Extra Dimensions Field Theories in Higher Dimensions Classical Theories of Gravity |
| title | Note on warped compactification. Finite brane potentials and non-Hermiticity |
| title_full | Note on warped compactification. Finite brane potentials and non-Hermiticity |
| title_fullStr | Note on warped compactification. Finite brane potentials and non-Hermiticity |
| title_full_unstemmed | Note on warped compactification. Finite brane potentials and non-Hermiticity |
| title_short | Note on warped compactification. Finite brane potentials and non-Hermiticity |
| title_sort | note on warped compactification finite brane potentials and non hermiticity |
| topic | Extra Dimensions Field Theories in Higher Dimensions Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP08(2024)229 |
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