{"paper":{"title":"On the logarithmic powers of $sl(2)$ SYM$_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Davide Fioravanti, Marco Rossi, Paolo Grinza","submitted_at":"2009-11-12T17:49:57Z","abstract_excerpt":"In the high spin limit the minimal anomalous dimension of (fixed) twist operators in the $sl(2)$ sector of planar ${\\cal N}=4$ Super Yang-Mills theory expands as $\\gamma(g,s,L)=f(g) \\ln s + f_{sl}(g,L) + \\sum \\limits_{n=1}^\\infty \\gamma^{(n)}(g,L) (\\ln s)^{-n} + ... $. We find that the sub-logarithmic contribution $\\gamma^{(n)}(g,L) $ is governed by a linear integral equation, depending on the solution of the linear integral equations appearing at the steps $n'\\leq n-3$. We work out this recursive procedure and determine explicitly $\\gamma^{(n)}(g,L) $ (in particular $\\gamma^{(1)}(g,L)=0$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2425","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"}