2014/01/20 by Seung-il Nam, Nam, Seung-il
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.1401.5043
5 pages, 5 figures
arxiv created 2014/01/20 · arxiv updated 2014/01/21
We investigate the jet-quenching parameter q for the quark-gluon plasma (QGP) for Nc=3, defined nonperturbatively with the Wilson loop in the light-cone (LC) coordinate, at finite temperature (T). Considering the effective static (heavy) quark-antiquark potential V_QQ=σL+C-A/L, where L indicates the LC transverse separation between the quarks, we obtain q≈8V_QQ/L2. The T dependences for L and other relevant parameters are extracted from the T-dependent instanton (trivial-holonomy caloron) length parameters and the lattice QCD data. By choosing L≈a≈ρT, in which a and ρT denote the lattice spacing and the T-dependent average (anti)instanton size, respectively, we acquire numerically that q=(5∼25) GeV/fm for T=(0∼0.6) GeV, and these values are well consistent with other estimations from AdS/CFT and experimental analyses. It turns out that q is produced almost by the Coulomb and constant potentials of V_QQ. We also observe that the ratio T3/q turns into being saturated to ∼4.45×10-2 for T\gtrsim0.4 GeV, indicating the strongly-coupled QGP, and q behaves proportionally to T3 for high T.