{"paper":{"title":"Five-loop Konishi in N=4 SYM","arxiv_id":"1202.5733","primary_cat":"hep-th","submitted_at":"2012-02-26T08:54:57+00:00","version_compiled":"v3"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v3","sentences":[{"i":0,"p":1.0,"id":"s0","own":true,"role":"contribution","text":"We present a new method for computing the Konishi anomalous dimension in N=4 SYM at weak coupling.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":1.0,"interpretation":0.0}},{"i":1,"p":0.66,"id":"s1","own":true,"role":"method","text":"It does not rely on the conventional Feynman diagram technique and is not restricted to the planar limit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.65,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.66,"result":0.0,"background":0.0,"limitation":0.01,"future_work":0.0,"contribution":0.33,"interpretation":0.0}},{"i":2,"p":0.89,"id":"s2","own":false,"role":"method","text":"It is based on the OPE analysis of the four-point correlation function of stress-tensor multiplets, which has been recently constructed up to six loops.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.12,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.9,"role_probabilities":{"gap":0.0,"method":0.89,"result":0.0,"background":0.09,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":3,"p":0.66,"id":"s3","own":false,"role":"background","text":"The Konishi operator gives the leading contribution to the singlet SU(4) channel of this OPE.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.25,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.39,"role_probabilities":{"gap":0.0,"method":0.28,"result":0.01,"background":0.66,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.02}},{"i":4,"p":0.76,"id":"s4","own":false,"role":"method","text":"Its anomalous dimension is the coefficient of the leading single logarithmic singularity of the logarithm of the correlation function in the double short-distance limit, in which the operator positions coincide pairwise.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.28,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.27,"role_probabilities":{"gap":0.0,"method":0.76,"result":0.01,"background":0.18,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.03}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"method","text":"We regularize the logarithm of the correlation function in this singular limit by a version of dimensional regularization.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":1.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":6,"p":0.88,"id":"s6","own":true,"role":"method","text":"At any loop level, the resulting singularity is a simple pole whose residue is determined by a finite two-point integral with one loop less.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.79,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.57,"role_probabilities":{"gap":0.0,"method":0.88,"result":0.1,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":7,"p":0.62,"id":"s7","own":true,"role":"method","text":"This drastically simplifies the five-loop calculation of the Konishi anomalous dimension by reducing it to a set of known four-loop two-point integrals and two unknown integrals which we 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