On the role of cosmological constant in modeling hadrons
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908580611883008 |
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| author | Arun, Mathew Thomas Thahir, Nabeel |
| author_facet | Arun, Mathew Thomas Thahir, Nabeel |
| contents | Einsteins gravity with a cosmological constant $Λ$ in four dimensions can be reformulated as a $λϕ^4$ theory characterized solely by the dimensionless coupling $λ\propto G_N Λ$ ($G_N$ being Newton's constant). The quantum triviality of this theory drives $λ\to 0$, and a deviation from this behavior could be generated by matter couplings. Here, we study the significance of this conformal symmetry and its breaking in modeling non-perturbative QCD. The hadron spectra and correlation functions are studied holographically in an $AdS_5$ geometry with induced cosmological constants on four-dimensional hypersurface. Our analysis shows that the experimentally measured spectra of the $ρ$ and $a_1$ mesons, including their excitations and decay constants, favour a non-vanishing induced cosmological constant in both hard-wall and soft-wall models. Although this behavior is not as sharp in the soft-wall model as in the hard-wall model, it remains consistent. Furthermore, we show that the correction to the Gell-Mann-Oakes-Renner relation has an inverse dependence on the induced cosmological constant, underscoring its significance in holographic descriptions of low-energy QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06380 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the role of cosmological constant in modeling hadrons Arun, Mathew Thomas Thahir, Nabeel High Energy Physics - Phenomenology High Energy Physics - Theory Einsteins gravity with a cosmological constant $Λ$ in four dimensions can be reformulated as a $λϕ^4$ theory characterized solely by the dimensionless coupling $λ\propto G_N Λ$ ($G_N$ being Newton's constant). The quantum triviality of this theory drives $λ\to 0$, and a deviation from this behavior could be generated by matter couplings. Here, we study the significance of this conformal symmetry and its breaking in modeling non-perturbative QCD. The hadron spectra and correlation functions are studied holographically in an $AdS_5$ geometry with induced cosmological constants on four-dimensional hypersurface. Our analysis shows that the experimentally measured spectra of the $ρ$ and $a_1$ mesons, including their excitations and decay constants, favour a non-vanishing induced cosmological constant in both hard-wall and soft-wall models. Although this behavior is not as sharp in the soft-wall model as in the hard-wall model, it remains consistent. Furthermore, we show that the correction to the Gell-Mann-Oakes-Renner relation has an inverse dependence on the induced cosmological constant, underscoring its significance in holographic descriptions of low-energy QCD. |
| title | On the role of cosmological constant in modeling hadrons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.06380 |