{"arxiv_id":"0908.0467","incoming":{"papers":12,"sentences":19,"groups":[{"kind":"contests","label":"Contests 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":"Discussion","sentence":"Nonetheless, the authors claim to have shown renormalizability using Algebraic Renormalization, which as we have discussed in [ref] may not be applicable in theories.","intent_p":0.64,"contests_p":0.78}]},{"kind":"background","label":"Cites it as background","papers":8,"sentences":9,"quotes":[{"arxiv_id":"1402.5980","title":"Gauge Fields on Non-Commutative Spaces and Renormalization","url":"/paper/1402.5980","section":"Introduction","sentence":"Quantum field theories on spaces, in particular on Moyal space, have been studied for some time (for a review see [ref] and references therein), and although problems preventing successful renormalization have been overcome in the scalar cases, such as the Grosse-Wulkenhaar model [ref] and the translation invariant $1/p^2$-model by Gurau [ref] , gauge theories have so far eluded us [ref] : Even though some propositions how to restore renormalizability in those cases have been put forward, there exists no proof for their renormalizability.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1003.2284","title":"Gauge fields on noncommutative geometries with curvature","url":"/paper/1003.2284","section":"Introduction","sentence":"There are various proposals which we recall briefly here, for more detailed reviews see [ref] .","intent_p":0.96,"contests_p":null},{"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":"Symmetries","sentence":"For a detailed discussion we would like to refer to our recent article [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"2309.08917","title":"On the UV/IR mixing of Lie algebra-type noncommutatitive $\\phi^4$-theories","url":"/paper/2309.08917","section":"Divergences in the UV and the IR","sentence":"The interest of the model relies in the fact that this two divergences are decoupled thanks to a counter term and so can be renormalised separately (for a comprehensive review see [ref] ).","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":"Finally, methods and problems arising when one attempts to prove renormalizability of a gauge model on spaces can be found in [ref] and references therein.","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":9},"outgoing":{"papers":62,"sentences":91,"groups":[{"kind":"supports_this_paper","label":"Cites as 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since the first quantum field theory models were constructed, the greatest obstacle has been the infamous so-called problem [ref] , where certain types of Feynman graphs, the non-planar graphs, exhibit new unrenormalizable IR singularities in exceptional momenta (see [ref] for a review).","intent_p":0.91,"contests_p":null},{"arxiv_id":"hep-th/0109162","title":"Quantum Field Theory on Noncommutative Spaces","url":"/paper/hep-th/0109162","section":"Introduction","sentence":"Ever since the first quantum field theory models were constructed, the greatest obstacle has been the infamous so-called problem [ref] , where certain types of Feynman graphs, the non-planar graphs, exhibit new unrenormalizable IR singularities in exceptional momenta (see [ref] for a review).","intent_p":0.91,"contests_p":null},{"arxiv_id":"hep-th/9912072","title":"Noncommutative Perturbative Dynamics","url":"/paper/hep-th/9912072","section":"Introduction","sentence":"Ever since the first quantum field theory models 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