Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911711637798912 |
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| author | Junior, Adão S. da Silva Pretel, Juan M. Z. |
| author_facet | Junior, Adão S. da Silva Pretel, Juan M. Z. |
| contents | In this paper we investigate the spectrum and decay constants of vector mesons based on $f(R)$-dilaton gravity. We focus particularly on the well-known Starobinsky model, given by the function $f(R)= R+ αR^2$ in the metric formalism, and we examine the deviations from the pure Einstein-dilaton case. We thus provide the field equations for Starobinsky-dilaton gravity in $\rm AdS_{5}$ spacetime and calculate the spectral decomposition of the vector mesons by means of a Sturm-Liouville problem. Remarkably, for the rho mesons $m_{ρ^2}$ and $m_{ρ^3}$, our results are in good agreement with the experimental data when $α= 10^{-8}$. Our work also generalizes previous studies and recovers standard results when $α= 0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_07920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity Junior, Adão S. da Silva Pretel, Juan M. Z. High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper we investigate the spectrum and decay constants of vector mesons based on $f(R)$-dilaton gravity. We focus particularly on the well-known Starobinsky model, given by the function $f(R)= R+ αR^2$ in the metric formalism, and we examine the deviations from the pure Einstein-dilaton case. We thus provide the field equations for Starobinsky-dilaton gravity in $\rm AdS_{5}$ spacetime and calculate the spectral decomposition of the vector mesons by means of a Sturm-Liouville problem. Remarkably, for the rho mesons $m_{ρ^2}$ and $m_{ρ^3}$, our results are in good agreement with the experimental data when $α= 10^{-8}$. Our work also generalizes previous studies and recovers standard results when $α= 0$. |
| title | Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.07920 |