Fixed points of classical gravity coupled with a Standard-Model-like theory
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908532872314880 |
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| author | Boyle, Latham Turok, Neil Vaibhav, Vatsalya |
| author_facet | Boyle, Latham Turok, Neil Vaibhav, Vatsalya |
| contents | Coupling quantum field theory (QFT) \!-\! even free QFT \!-\! to gravity leads to well-known problems. In particular, the stress tensor $T_{μν}$ (gravity's source) and its correlators typically diverge in the UV, creating a conflict between the wildly inhomogeneous spacetime we expect quantum mechanically and the weakly-curved, macroscopic spacetime we observe. Are there QFTs for which these divergences cancel? Here, for simplicity, we consider free quantum fields on a classical curved background. The aforementioned divergences are related to the running of the gravitational couplings. We calculate the corresponding beta functions, identifying a special class of QFTs with UV fixed points at which $\langle T_{μν}\rangle$ and all its correlators $\langle T\ldots T\rangle$ are UV finite. An intriguing example is a theory like the Standard Model (including right-handed neutrinos) with $12$ gauge fields, $3$ generations of $16$ Weyl fermions and $36$ four-derivative (Fradkin-Tseytlin) scalars. In the infrared, this theory has a positive Newton's constant $G$ and an arbitrarily small cosmological constant $Λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed points of classical gravity coupled with a Standard-Model-like theory Boyle, Latham Turok, Neil Vaibhav, Vatsalya High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Coupling quantum field theory (QFT) \!-\! even free QFT \!-\! to gravity leads to well-known problems. In particular, the stress tensor $T_{μν}$ (gravity's source) and its correlators typically diverge in the UV, creating a conflict between the wildly inhomogeneous spacetime we expect quantum mechanically and the weakly-curved, macroscopic spacetime we observe. Are there QFTs for which these divergences cancel? Here, for simplicity, we consider free quantum fields on a classical curved background. The aforementioned divergences are related to the running of the gravitational couplings. We calculate the corresponding beta functions, identifying a special class of QFTs with UV fixed points at which $\langle T_{μν}\rangle$ and all its correlators $\langle T\ldots T\rangle$ are UV finite. An intriguing example is a theory like the Standard Model (including right-handed neutrinos) with $12$ gauge fields, $3$ generations of $16$ Weyl fermions and $36$ four-derivative (Fradkin-Tseytlin) scalars. In the infrared, this theory has a positive Newton's constant $G$ and an arbitrarily small cosmological constant $Λ$. |
| title | Fixed points of classical gravity coupled with a Standard-Model-like theory |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.09346 |