{"arxiv_id":"hep-th/9312206","incoming":{"papers":6,"sentences":9,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1010.0870","title":"Ambiguity-free formulation of the Higgs-Kibble model","url":"/paper/1010.0870","section":"Recursive Removal of the UV Divergences","sentence":"This relies on the evaluation of the cohomology $H_F(S_0)$ [ref] of the nilpotent operator $S_0$ in the space $F$ of Lorentz- and global $SU(2)$-invariant local functionals with dimension bounded by the power-counting. $H_F(S_0)$ is defined as the quotient of the latter functional space w.r.t. to the equivalence relation","intent_p":0.94,"contests_p":null},{"arxiv_id":"1002.2490","title":"Renormalization of the Yang-Mills theory in the ambiguity-free gauge","url":"/paper/1002.2490","section":"Solution of the Linearized Functional Identity","sentence":"One way to solve this problem is to compute the cohomology $H_F(S_0)$ [ref] of the nilpotent operator $S_0$ in the space $F$ of Lorentz- and global $SU(2)$-invariant local functionals with dimension bounded by the power-counting. $H_F(S_0)$ is defined as the quotient of the latter functional space w.r.t. to the equivalence relation","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":7},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/9312206"}}