{"arxiv_id":"hep-th/9803135","incoming":{"papers":86,"sentences":139,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":11,"sentences":11,"quotes":[{"arxiv_id":"0803.3214","title":"Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions","url":"/paper/0803.3214","section":"Calculation","sentence":"If we in addition take the large $λ$ limit and use the AdS/CFT correspondence, the expectation value of the Wilson loop in the fundamental representation can be computed as [ref] W(C) = e^ i S_I, S_I = S(C) - 2 S_0 , where $S(C)$ is the Nambu-Goto action for the extremal worldsheet bounded at $z=0$ by the Wilson loop contour $C$ and $S_0$ is the Nambu-Goto action for an individual quark.","intent_p":0.83,"contests_p":null},{"arxiv_id":"0812.4903","title":"Hadron potentials within the gauge/string correspondence","url":"/paper/0812.4903","section":"The conformal behaviour of the Wilson loop at finite temperature","sentence":"The second contribution on the r.h.s. of [ref] is the required counter-term which subtracts the very massive quark and antiquark contributions to the regularized potential and which takes in this case the following form ($ℓ=2r+2TT≫r≃2T$ and $M=U_max-U_T/2π$): [equation] Indeed, the \"W-boson string\" corresponds here to an open string stretched between the brane at $U_max$ and the Schwarzschild horizon $U=U_T$ [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2508.12756","title":"Thermodynamics of Heavy Quarkonium in a Bayesian Holographic QCD model","url":"/paper/2508.12756","section":"The Setup","sentence":"Standard techniques enable the computation of their separation distance and interaction potential [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1103.5389","title":"Thermodynamics of deformed AdS$_5$ model with a positive/negative quadratic correction in graviton-dilaton system","url":"/paper/1103.5389","section":"The heavy quark potential","sentence":"In the framework of gauge/gravity duality, we follow the standard procedure [ref] and [ref] to derive the static heavy quark potential $V_QQ̅(r)$ under the general metric background with a black hole, i.e, Eq. ([ref]).","intent_p":0.99,"contests_p":null},{"arxiv_id":"2006.00712","title":"Neural ODE and Holographic QCD","url":"/paper/2006.00712","section":"Wilson loop","sentence":"Following the standard method [ref] for calculating the expectation value of the Wilson loop holographically, we evaluate the Wilson loop for a quark and an antiquark separated by the distance $d$, using our emergent spacetime.","intent_p":0.98,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0801.1117","title":"Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma","url":"/paper/0801.1117","section":"Introduction and Summary","sentence":"At $v=0$, $L_s^meson=0.28/T$ [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"0803.3214","title":"Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions","url":"/paper/0803.3214","section":"Quark-Antiquark Potential and Screening Length","sentence":"At $v=0$, $L_s=0.28/T$ [ref] .","intent_p":0.81,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":10,"sentences":11,"quotes":[{"arxiv_id":"2412.11107","title":"Quantum-Corrected Holographic Wilson Loop Expectation Values and Super-Yang-Mills Confinement","url":"/paper/2412.11107","section":"Introduction","sentence":"In the phase diagram of SYM theory, our new result can be interpreted as deforming the superconformal $𝒩=4$ SYM theory by finite chemical potential, in contrast to the finite-temperature deformation considered in [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"1007.1482","title":"Holography and $AdS_4$ self-gravitating dyons","url":"/paper/1007.1482","section":"The Wilson loop","sentence":"One can see in figure 6 that there exists a maximal distance $l_max$ between the quark-anti-quark pair, a phenomenon already found in the study of the finite temperature Wilson line in the large $N$ limit of $U(N)$ $N = 4$ Super Yang-Mills theory in 4 dimensions [ref] - [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1304.7831","title":"A Systematic Study on Matrix Models for Chern-Simons-matter Theories","url":"/paper/1304.7831","section":"Introduction","sentence":"This is a quite different behavior from the one which would be expected if there would be a classical AdS dual and $⟨W ⟩$ would be given in terms of a minimal surface in the AdS space [ref] [ref] [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1001.1289","title":"Unruh Effect and Holography","url":"/paper/1001.1289","section":"Quark-anti-quark potential for accelerated quarks","sentence":"These behavior is similar to those computed from AdS black hole [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1004.0387","title":"Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential","url":"/paper/1004.0387","section":"Numerical analysis","sentence":"Such a behavior has also been observed in [ref] for the AdS case and in [ref] for the pure Klebanov-Strassler case.","intent_p":0.93,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1102.2289","title":"Heavy quarks in the presence of higher derivative corrections from AdS/CFT","url":"/paper/1102.2289","section":"Numerical Solutions","sentence":"One concludes that only the lower part is physical [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":40,"sentences":44,"quotes":[{"arxiv_id":"1706.09217","title":"Bottomonia Suppression in Heavy Ion Collisions from AdS/CFT","url":"/paper/1706.09217","section":"Introduction","sentence":"The potential for static heavy quarkonia at finite temperature in $𝒩=4$ super Yang-Mills theory was calculated via the methods of AdS/CFT by [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"1605.07181","title":"Free Energy of a Heavy Quark-Antiquark Pair in a Thermal Medium from AdS/CFT","url":"/paper/1605.07181","section":"Introduction","sentence":"The calculation of the free energy of a static pair in an $𝒩=4$ SYM plasma [ref] was among the first applications of the AdS/CFT correspondence.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2012.05188","title":"Holographic Entanglement Entropy of the Coulomb Branch","url":"/paper/2012.05188","section":"A simple example: the probe string","sentence":"In the Maldacena limit of large-$N$ followed by $λ≫1$, the holographic dual of the fundamental representation Wilson line is a string anchored to the boundary of $AdS_5 ×S^5$ [ref] , which can be treated as a probe.","intent_p":0.89,"contests_p":null},{"arxiv_id":"0803.3070","title":"Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories","url":"/paper/0803.3070","section":"Review of earlier results","sentence":"The potential $E(L)$ for an infinitely massive static quark and antiquark in a strongly-coupled $=4$ SYM plasma was determined in [ref] ,[For the corresponding weak coupling calculation in QCD, see, e.g., [ref] and references therein.] using the dual description of the pair in terms a string with both of its endpoints on the AdS boundary $z=0$.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1203.3942","title":"On meson melting in the quark medium","url":"/paper/1203.3942","section":"Holographic melting in the quark medium","sentence":"It is argued in [ref] that the heavy quark and anti-quark potential becomes zero at a separation $r_d$ and for large separation, the dominant configuration corresponds to two straight strings and the string melts.","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":70},"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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