{"arxiv_id":"1011.4439","incoming":{"papers":7,"sentences":13,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1212.3818","title":"The shear channel spectral function in hot Yang-Mills theory","url":"/paper/1212.3818","section":"Introduction","sentence":"There, the quantity was evaluated to next-to-leading order (NLO) in the limit of vanishing external three-momentum, building on the earlier work of [ref] .","intent_p":0.8,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":6,"quotes":[{"arxiv_id":"1011.5570","title":"Spatial scalar correlator in strongly coupled hot N=4 Yang-Mills theory","url":"/paper/1011.5570","section":"The static case $ω=0$","sentence":"The finite $T$ part of the full result in res, multiplied by 16, is compared with the NLO computation in [ref] in Fig. [ref]; the leading $1/r^7$ terms are the same.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1104.5352","title":"Frequency and wave number dependence of the shear correlator in strongly coupled hot Yang-Mills theory","url":"/paper/1104.5352","section":"Introduction","sentence":"The result was then Fourier transformed to a spatial Green's function and compared with a computation in next-to-leading order QCD perturbation theory [ref] , see also [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1109.6548","title":"The ultraviolet limit and sum rule for the shear correlator in hot Yang-Mills theory","url":"/paper/1109.6548","section":"Discussion and conclusions","sentence":"In Section [ref], we found that the NLO expressions we obtained for the Wilson coefficients of the coordinate space shear correlator, Eqs. ([ref])–([ref]), display considerably improved convergence properties in comparison with those obtained in the bulk channel in Ref. [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1302.1432","title":"Energy momentum tensor correlators in hot Yang-Mills theory: holography confronts lattice and perturbation theory","url":"/paper/1302.1432","section":"Introduction","sentence":"Recent lattice studies of energy momentum tensor correlators include at least [ref] , while related perturbative work has been performed in [ref] and holographic calculations in [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1502.02556","title":"On the infrared behavior of the shear spectral function in hot Yang-Mills theory","url":"/paper/1502.02556","section":"Introduction","sentence":"For pure SU($N$) Yang-Mills theory, defined via the Euclidean action (note that we work in Euclidean metric throughout the paper) S_E = ∫_0^β τ∫ d^D-1x⃗ 1/4 F^a_μν F^a_μν ≡ ∫_x 1/4 F^a_μν F^a_μν , with $D≡4-2ϵ$, $β≡1/T$ and F^a_μν ≡ ∂_μA^a_ν- ∂_νA^a_μ+ f^abc A^b_μA^c_ν , a next-to-leading order (NLO) spectral function was first determined in the bulk channel in [ref] , building on the earlier work of [ref] (see also [ref] ).","intent_p":0.84,"contests_p":null}]}],"unlabelled_sentences":4},"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/1011.4439"}}