{"arxiv_id":"0902.2956","incoming":{"papers":14,"sentences":32,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0908.1743","title":"One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model","url":"/paper/0908.1743","section":"Review: the construction of the model","sentence":"Following the ideas of Vilar [ref] , the localized action [ref] was further developed in [ref] by replacing $_$ with a complex conjugated pair of fields ($B_$, $_$) and by the introduction of an additional pair of ghost and antighost fields $ψ_$ and $_$ (all of mass dimension 1), thus leading to [equation] In this expression, as well as throughout the remainder of this section, all field products are con­sidered to be star products.","intent_p":0.86,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1005.5107","title":"On NCQFT and dimensionless insertions","url":"/paper/1005.5107","section":"$U(1)$ Gauge theory","sentence":"Motivated by the work of Vilar [ref] we have eliminate the non-local terms with the help of auxiliary fields forming BRST-doublet structures [ref] : Γ^(0) = ∫d^4x ( 1/4 F_μν F_μν + λ/2 ( B_μν + B̅_μν) F_μν . . - μ^2 B̅_μν⋆D^2 D^2 B_μν + μ^2 ψ̅D^2 D^2 ψ) .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2210.11890","title":"Gauge theories on quantum spaces","url":"/paper/2210.11890","section":"$1/p^2$1/p3̂ gauge models and IR damping.","sentence":"It is partly based on [ref] where a clever adaptation of the Zwanziger method [ref] of localization of non-local action for QCD is applied to noncommutative gauge theory on Moyal space.","intent_p":0.82,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1307.4650","title":"BPHZ renormalization and its application to non-commutative field theory","url":"/paper/1307.4650","section":"Non-commutative gauge field theories","sentence":"Thus, the action has to be modified and, inspired by the results achieved for the scalar models, various approaches have been proposed in recent years [ref] – see also the discussion [ref] and references therein.","intent_p":0.8,"contests_p":null},{"arxiv_id":"1402.5980","title":"Gauge Fields on Non-Commutative Spaces and Renormalization","url":"/paper/1402.5980","section":"Non-commutative gauge field theories","sentence":"Inspired by the results achieved for the scalar models, various approaches have been proposed in recent years [ref] — see also the discussion [ref] and references therein.","intent_p":0.84,"contests_p":null},{"arxiv_id":"1302.2903","title":"Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences","url":"/paper/1302.2903","section":"Introduction","sentence":"Various approaches to implementing a damping mechanism similar to the scalar $1/p^2$-model were also discussed — see [ref] .","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":26},"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/0902.2956"}}