Wilson network decomposition of AdS Feynman diagrams in two dimensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914205092806656 |
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| author | Alkalaev, K. B. Khiteev, V. S. |
| author_facet | Alkalaev, K. B. Khiteev, V. S. |
| contents | We show that Feynman diagrams in AdS$_2$ space can be decomposed into infinite series of matrix elements of Wilson line network operators. The case of the 3-point scalar Feynman diagram with endpoints in the bulk is studied in detail. The resulting decomposition is similar to the conformal block decomposition of Witten diagrams, i.e. it comprises a single-trace term and infinite sums of double-trace terms. We derive a number of AdS propagator identities which relate the standard bulk-to-bulk propagators with the modified bulk-to-bulk propagators of two different types responsible for extracting single-trace and double-trace terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wilson network decomposition of AdS Feynman diagrams in two dimensions Alkalaev, K. B. Khiteev, V. S. High Energy Physics - Theory We show that Feynman diagrams in AdS$_2$ space can be decomposed into infinite series of matrix elements of Wilson line network operators. The case of the 3-point scalar Feynman diagram with endpoints in the bulk is studied in detail. The resulting decomposition is similar to the conformal block decomposition of Witten diagrams, i.e. it comprises a single-trace term and infinite sums of double-trace terms. We derive a number of AdS propagator identities which relate the standard bulk-to-bulk propagators with the modified bulk-to-bulk propagators of two different types responsible for extracting single-trace and double-trace terms. |
| title | Wilson network decomposition of AdS Feynman diagrams in two dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.13484 |