Quantizing Carrollian field theories
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914971160412160 |
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| author | Cotler, Jordan Jensen, Kristan Prohazka, Stefan Raz, Amir Riegler, Max Salzer, Jakob |
| author_facet | Cotler, Jordan Jensen, Kristan Prohazka, Stefan Raz, Amir Riegler, Max Salzer, Jakob |
| contents | Carrollian field theories have recently emerged as a candidate dual to flat space quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a strong sensitivity to the ultraviolet. They can be regulated upon being placed on a spatial lattice and working at finite inverse temperature. Unlike in conventional field theories, the details of the lattice-regulated Carrollian theories remain important at long distances even in the limit that the lattice spacing is sent to zero. We use that limit to define interacting continuum models with a tractable perturbative expansion. The ensuing theories are those of generalized free fields, with non-Gaussian correlations suppressed by positive powers of the lattice spacing, and an unbroken supertranslation symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11971 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantizing Carrollian field theories Cotler, Jordan Jensen, Kristan Prohazka, Stefan Raz, Amir Riegler, Max Salzer, Jakob High Energy Physics - Theory General Relativity and Quantum Cosmology Carrollian field theories have recently emerged as a candidate dual to flat space quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a strong sensitivity to the ultraviolet. They can be regulated upon being placed on a spatial lattice and working at finite inverse temperature. Unlike in conventional field theories, the details of the lattice-regulated Carrollian theories remain important at long distances even in the limit that the lattice spacing is sent to zero. We use that limit to define interacting continuum models with a tractable perturbative expansion. The ensuing theories are those of generalized free fields, with non-Gaussian correlations suppressed by positive powers of the lattice spacing, and an unbroken supertranslation symmetry. |
| title | Quantizing Carrollian field theories |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.11971 |