Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909301933604864 |
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| author | Berges, Jürgen Gurau, Razvan Keppler, Hannes Preis, Thimo |
| author_facet | Berges, Jürgen Gurau, Razvan Keppler, Hannes Preis, Thimo |
| contents | We consider a scalar quantum field theory with global $O(N)^3$ symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with stable and real quantum effective action. We demonstrate the dynamical build-up of a strong interaction as the correlation length increases in a regime where the coupling renormalization flow remains well defined in the infrared. This is in contrast to perturbative results of asymptotically free theories, which predict that the coupling becomes ill-defined in the infrared, like in quantum chromodynamics. These properties make the model an important laboratory for the study of strong-coupling phenomena in quantum field theory from first principles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions Berges, Jürgen Gurau, Razvan Keppler, Hannes Preis, Thimo High Energy Physics - Theory High Energy Physics - Phenomenology We consider a scalar quantum field theory with global $O(N)^3$ symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with stable and real quantum effective action. We demonstrate the dynamical build-up of a strong interaction as the correlation length increases in a regime where the coupling renormalization flow remains well defined in the infrared. This is in contrast to perturbative results of asymptotically free theories, which predict that the coupling becomes ill-defined in the infrared, like in quantum chromodynamics. These properties make the model an important laboratory for the study of strong-coupling phenomena in quantum field theory from first principles. |
| title | Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.08153 |