Spinning up the spool: Massive spinning fields in 3d quantum gravity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911954845564928 |
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| author | Bourne, Robert Castro, Alejandra Fliss, Jackson R. |
| author_facet | Bourne, Robert Castro, Alejandra Fliss, Jackson R. |
| contents | We show how to incorporate massive spinning fields into the Euclidean path integral of three-dimensional quantum gravity via its Chern-Simons formulation. The coupling of the spinning fields to gravity is captured by a Wilson spool, a collection of Wilson loops winding around closed paths of the geometry, and generalizes the proposal of [1,2]. We present a robust derivation of the Wilson spool by providing a new group-theoretic perspective of the quasinormal mode method for one-loop determinants. We test our proposal on Euclidean BTZ and $S^3$ backgrounds. We also evaluate explicitly the quantum corrections to the path integral on $S^3$, and report on how $G_N$ and the mass are renormalized to leading order in perturbation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09608 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spinning up the spool: Massive spinning fields in 3d quantum gravity Bourne, Robert Castro, Alejandra Fliss, Jackson R. High Energy Physics - Theory We show how to incorporate massive spinning fields into the Euclidean path integral of three-dimensional quantum gravity via its Chern-Simons formulation. The coupling of the spinning fields to gravity is captured by a Wilson spool, a collection of Wilson loops winding around closed paths of the geometry, and generalizes the proposal of [1,2]. We present a robust derivation of the Wilson spool by providing a new group-theoretic perspective of the quasinormal mode method for one-loop determinants. We test our proposal on Euclidean BTZ and $S^3$ backgrounds. We also evaluate explicitly the quantum corrections to the path integral on $S^3$, and report on how $G_N$ and the mass are renormalized to leading order in perturbation theory. |
| title | Spinning up the spool: Massive spinning fields in 3d quantum gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.09608 |