{"arxiv_id":"hep-th/9912072","incoming":{"papers":202,"sentences":319,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0912.1748","title":"Nonequilibrium Dynamics in Noncommutative Spacetime","url":"/paper/0912.1748","section":"Dispersion relation","sentence":"Similar to [ref] , we have multiplied the above integrands by $exp(-1/ Λ^2)$ in order to regulate the small $$ divergence such that","intent_p":0.94,"contests_p":null},{"arxiv_id":"2111.10895","title":"Quantum chaos in a weakly-coupled field theory with nonlocality","url":"/paper/2111.10895","section":"The Lyapunov exponent: the matrix case","sentence":"For the purposes of $N$-counting, it is convenient to draw diagrams using double-line notation [ref] .","intent_p":0.92,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":8,"sentences":11,"quotes":[{"arxiv_id":"1010.0317","title":"Light-Like Noncommutativity, Light-Front Quantization and 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terms reproduce exactly the standard calculation in momentum basis [ref] , which involves an oscillatory integral.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2406.02372","title":"Braided scalar quantum field theory","url":"/paper/2406.02372","section":"Discussion and outlook","sentence":"This is consistent with results reported in [ref] through somewhat adhoc and less systematic computations than our rigorous formalism, but different from the standard noncommutative scalar field theory based on Feynman perturbation theory [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"0807.3270","title":"Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory","url":"/paper/0807.3270","section":"Propagator","sentence":"For $a→0$ (i.e. $M^2→m^2/2$) this result reduces to the one which was previously found [ref] for $a=0$, i.e. for the naïve model.","intent_p":0.94,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as 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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}]}],"unlabelled_sentences":220},"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. 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A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"1 later paper by other authors is listed below: 1 used its method or tool."},"_links":{"html":"https://pith.science/paper/hep-th/9912072"}}