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arXiv · 1609.04877

$T$-Matrix Approach to Strongly Coupled QGP

Shuai Y. F. Liu·Ralf Rapp
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Abstract

Based on a thermodynamic $T$-matrix approach we extract the potential $V$ between two static charges in the quark-gluon plasma (QGP) from fits to the pertinent lattice-QCD free energy. With suitable relativistic corrections we utilize this new potential to compute heavy-quark transport coefficients and compare the results to previous calculations using either $F$ or $U$ as potential. We then discuss a generalization of the $T$-matrix re-summation to a "matrix $\log$" re-summation of $t$-channel diagrams for the grand partition function of the QGP in the Luttinger-Ward skeleton diagram formalism. With $V$ as a non-perturbative driving kernel in the light-parton sector, we obtain the QGP equation of state from fits to lattice-QCD data. The resulting light-parton spectral functions are characterized by large thermal widths at small momenta, indicating the dissolution of quasi-particles in a strongly coupled QGP.

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Shuai Y. F. Liu, Ralf Rapp. 2016-09-15. $T$-Matrix Approach to Strongly Coupled QGP. https://doi.org/10.1088/1742-6596%2F779%2F1%2F012034

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