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| Autori principali: | , , , , |
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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2401.10986 |
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| _version_ | 1866929524567965696 |
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| author | Harris, Sebastian Kaviraj, Apratim Mann, Jeremy A. Quintavalle, Lorenzo Schomerus, Volker |
| author_facet | Harris, Sebastian Kaviraj, Apratim Mann, Jeremy A. Quintavalle, Lorenzo Schomerus, Volker |
| contents | We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist primaries are highly degenerate so that their anomalous dimension is encoded in a matrix. At large spin, the degeneracy becomes infinite and the matrix becomes an integral operator. We compute this integral operator by studying a particular non-planar crossing equation for six-point functions of scalar operators in a lightcone limit. The bootstrap analysis is based on new formulas for six-point lightcone blocks in the comb-channel. For a consistency check of our results, we compare them to perturbative computations in the epsilon expansion of $ϕ^3$ and $ϕ^4$ theory. In both cases, we find perfect agreement between perturbative results and bootstrap predictions. As a byproduct of our studies, we complement previous results on triple-twist anomalous dimensions in scalar $ϕ^3$ and $ϕ^4$ theory at first and second order in epsilon, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions Harris, Sebastian Kaviraj, Apratim Mann, Jeremy A. Quintavalle, Lorenzo Schomerus, Volker High Energy Physics - Theory Mathematical Physics We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist primaries are highly degenerate so that their anomalous dimension is encoded in a matrix. At large spin, the degeneracy becomes infinite and the matrix becomes an integral operator. We compute this integral operator by studying a particular non-planar crossing equation for six-point functions of scalar operators in a lightcone limit. The bootstrap analysis is based on new formulas for six-point lightcone blocks in the comb-channel. For a consistency check of our results, we compare them to perturbative computations in the epsilon expansion of $ϕ^3$ and $ϕ^4$ theory. In both cases, we find perfect agreement between perturbative results and bootstrap predictions. As a byproduct of our studies, we complement previous results on triple-twist anomalous dimensions in scalar $ϕ^3$ and $ϕ^4$ theory at first and second order in epsilon, respectively. |
| title | Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.10986 |