The perturbative Ricci flow in gravity
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918457717555200 |
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| author | Harlander, Robert V. Kluth, Yannick Kohnen, Jonas T. Werthenbach, Henry |
| author_facet | Harlander, Robert V. Kluth, Yannick Kohnen, Jonas T. Werthenbach, Henry |
| contents | We develop a perturbative formulation of the Ricci flow in gravity. Following steps analogous to the gradient flow in QCD, we supplement the usual Feynman rules for perturbative gravity by flowed propagators and vertices as well as graviton flow lines which describe the evolution of gravity along the Ricci flow. By calculating vacuum expectation values of a number of independent operators at the two-loop level, we derive the required counterterms of the flowed action. Our results allow us to define a Ricci-flow based renormalization scheme for Newton's constant $G_N$. Studying its renormalization group behavior, we recover a non-Gaußian fixed point in accordance with well-known non-perturbative considerations |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18678 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The perturbative Ricci flow in gravity Harlander, Robert V. Kluth, Yannick Kohnen, Jonas T. Werthenbach, Henry High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice We develop a perturbative formulation of the Ricci flow in gravity. Following steps analogous to the gradient flow in QCD, we supplement the usual Feynman rules for perturbative gravity by flowed propagators and vertices as well as graviton flow lines which describe the evolution of gravity along the Ricci flow. By calculating vacuum expectation values of a number of independent operators at the two-loop level, we derive the required counterterms of the flowed action. Our results allow us to define a Ricci-flow based renormalization scheme for Newton's constant $G_N$. Studying its renormalization group behavior, we recover a non-Gaußian fixed point in accordance with well-known non-perturbative considerations |
| title | The perturbative Ricci flow in gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2604.18678 |