Current experimental findings at RHIC and LHC imply that a strongly coupled quark gluon plasma (QGP) is created in heavy-ion collisions. This calls for a non-perturbative investigation to understand relations between various observables and the underlying physical mechanisms. Considering the difficulties in first principle approaches, we have developed a tractable non-perturbative many-body T-matrix model to investigate the strongly coupled features of the QGP. Through our recent developments [1,2], we can self-consistently solve the thermodynamics of our model including resummed non-perturbative t-channel contributions , where two-body resonance and scattering states are treated on equal footing. Inputs of the model are constrained by matching thermal Euclidian-time quantities with lattice QCD, such as static quark free energy, equation of states (EoS), and various susceptibilities. With these constrained inputs, the model can directly calculate various real-time amplitudes and spectral functions that closely relate to observables without involving analytic continuations. More concretely, matching to heavy-quark (HQ) free energy data, we extract a strongly coupled potential . Using this potential as input, we find broad light-parton spectral functions by comparing to the EoS . With these constraints, we obtain large HQ relaxation rates with nontrivial temperature and momentum dependences. Results from implementing these into a HQ transport model will be compared to low-momentum heavy-flavor observables from experiments . We also discuss the calculation of the EoS at finite chemical potential and the comparison to susceptibilities at the finite temperature.
 S. Y.F. Liu and R. Rapp, Nucl. Phys. A 941, 179 (2015).
 S. Y.F. Liu and R. Rapp, arXiv:1609.04877
 J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960); G. Baym, Phys. Rev. 127, 1391 (1962).
 M. He, S. Y.F. Liu and R. Rapp, in prep.
|Preferred Track||QCD at High Temperature|