{"arxiv_id":"1203.3016","incoming":{"papers":3,"sentences":10,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1610.01429","title":"One-loop structure of the U(1) gauge model on the truncated Heisenberg space","url":"/paper/1610.01429","section":"Introduction","sentence":"In Section 3 we go through the main steps and some details of the calculation and list additional propagator corrections, completing the earlier result [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1610.01429","title":"One-loop structure of the U(1) gauge model on the truncated Heisenberg space","url":"/paper/1610.01429","section":"Conclusion and outlook","sentence":"The one-loop propagator corrections $P_ϕϕ,7$, $P_ϕϕ,8$, $P_ϕϕ, 9$ and $P_ϕϕ,10$ which were calculated in [ref] are [equation] The ghost contributions are zero.","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":8},"outgoing":{"papers":7,"sentences":23,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0912.3642","title":"Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term","url":"/paper/0912.3642","section":"Tadpoles: one-loop divergences","sentence":"In order to find divergences and the form of counterterms we apply the method developed in [ref] : we amputate the leg of the tadpole, multiply it with the corresponding external field then and integrate.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1003.2284","title":"Gauge fields on noncommutative geometries with curvature","url":"/paper/1003.2284","section":"Conclusions and outlook","sentence":"The classical model was constucted in [ref] and some of its propeties were explored there: the equations of motion, the vacuum solutions, the BRST symmetry.","intent_p":0.85,"contests_p":null},{"arxiv_id":"0802.0791","title":"A translation-invariant renormalizable non-commutative scalar model","url":"/paper/0802.0791","section":"Introduction","sentence":"Two different possibilities are known: one can add either a position-dependent potential term $(x̅⋆ϕ)^2$ [ref] , or a nonlocal kinetic term $ϕ ^-1ϕ$ [ref] to the original action.","intent_p":0.8,"contests_p":null},{"arxiv_id":"0705.4205","title":"Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry","url":"/paper/0705.4205","section":"Introduction","sentence":"Another, simplified version of a gauge model was discussed in [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"0912.3642","title":"Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term","url":"/paper/0912.3642","section":"Introduction","sentence":"Another, simplified version of a gauge model was discussed in [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":18},"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/1203.3016"}}