{"paper":{"title":"Perturbative Correlation Functions and Scattering Amplitudes in Planar $\\mathcal{N}=4$ Supersymmetric Yang-Mills","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Vuong-Viet Tran","submitted_at":"2018-05-31T10:37:10Z","abstract_excerpt":"In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric $\\mathcal{N}=4$ Yang-Mills. We use the `soft-collinear bootstrap' method to construct integrands of the aforementioned correlator and four-point scattering amplitudes to eight loops. The result is then extended to ten loops, by introducing two graphical relations, called the `triangle' and `pentagon' rules. These relations provide consistency conditions on the coefficients, and when combined with the `square' rule, prove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12413","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}