Exact Diffeomorphism in Warped Space
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929414115164160 |
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| author | Cai, Haiying |
| author_facet | Cai, Haiying |
| contents | In this paper, we study the manifestation of exact diffeomorphism in warped extra dimension, with an emphasis on the Randall-Sundrum model. Utilizing the covariant form of variation $δg_{MN} = \nabla_M ξ_N + \nabla_N ξ_M$, we derive the nonlinear transformation rules for the metric fields in the unitary gauge. As an off-shell symmetry, diffeomorphism governs the interaction structure by connecting the neighboring orders of bulk action expansions. Our analysis unveils that an on-shell diffeomorphism exists prior to radion stabilization, but is broken by the Goldberger-Wise mechanism. This on-shell symmetry enforces a mass-related equation $F'- A' G =0$ to eliminate one degree of freedom, while ensuring the 5D action invariant up to a surface term. Therefore, we conjecture that the on-shell diffeomorphism actually protects the radion field from acquiring mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Diffeomorphism in Warped Space Cai, Haiying High Energy Physics - Theory High Energy Physics - Phenomenology In this paper, we study the manifestation of exact diffeomorphism in warped extra dimension, with an emphasis on the Randall-Sundrum model. Utilizing the covariant form of variation $δg_{MN} = \nabla_M ξ_N + \nabla_N ξ_M$, we derive the nonlinear transformation rules for the metric fields in the unitary gauge. As an off-shell symmetry, diffeomorphism governs the interaction structure by connecting the neighboring orders of bulk action expansions. Our analysis unveils that an on-shell diffeomorphism exists prior to radion stabilization, but is broken by the Goldberger-Wise mechanism. This on-shell symmetry enforces a mass-related equation $F'- A' G =0$ to eliminate one degree of freedom, while ensuring the 5D action invariant up to a surface term. Therefore, we conjecture that the on-shell diffeomorphism actually protects the radion field from acquiring mass. |
| title | Exact Diffeomorphism in Warped Space |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.06086 |