Abstract
We present calculations for the shear viscosity of the hot and dense quark-gluon plasma (QGP) using the partonic scattering cross sections as a function of temperature T and baryon chemical potential \(\mu _B\) from the dynamical quasiparticle model (DQPM) that is matched to reproduce the equation of state of the partonic system above the deconfinement temperature \(T_c\) from lattice QCD. To this aim we calculate the collisional widths for the partonic degrees of freedom at finite T and \(\mu _B\) in the time-like sector and conclude that the quasiparticle limit holds sufficiently well. Furthermore, the ratio of shear viscosity \(\eta \) over entropy density s, i.e. \(\eta /s\), is evaluated using these collisional widths and are compared to lQCD calculations for \(\mu _B\) = 0 as well. We find that the ratio \(\eta /s\) is in agreement with the results of calculations within the original DQPM on the basis of the Kubo formalism. Furthermore, there is only a very modest change of \(\eta /s\) with the baryon chemical \(\mu _B\) as a function of the scaled temperature \(T/T_c(\mu _B)\).
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References
P. Romatschke, U. Romatschke, Phys. Rev. Lett. 99, 172301 (2007)
H. Song, U.W. Heinz, Phys. Rev. C 78, 024902 (2008)
O. Linnyk, E.L. Bratkovskaya, W. Cassing, Prog. Part. Nucl. Phys. 87, 50 (2016)
B. Vanderheyden, G. Baym, J. Stat. Phys. 93, 843 (1998)
P. Moreau, O. Soloveva, L. Oliva, T. Song, W. Cassing, E. Bratkovskaya, Phys. Rev. C 100, 014911 (2019)
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)
V. Ozvenchuk, O. Linnyk, M.I. Gorenstein, E.L. Bratkovskaya, W. Cassing, Phys. Rev. C 87, 064903 (2013)
G. Aarts, J.M. Martinez Resco, J. High Energy Phys. 04, 053 (2002)
R. Lang, N. Kaiser, W. Weise, Eur. Phys. J. A 48, 109 (2012)
C. Sasaki, K. Redlich, Phys. Rev. C 79, 055207 (2009)
J.-P. Blaizot, E. Iancu, Nucl. Phys. B 557, 183 (1999)
P.K. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005)
N. Astrakhantsev, V. Braguta, A. Kotov, J. High Energy Phys. 04, 101 (2017)
Acknowledgments
The authors acknowledge inspiring discussions with J. Aichelin, H. Berrehrah, Claudia Ratti, E. Seifert, A. Palmese and T. Steinert. Furthermore, P.M., L.O. and E.B. acknowledge support by the DFG grant CRC-TR 211 ’Strong-interaction matter under extreme conditions’ - Project number 315477589 - TRR 211. O.S. acknowledges support from HGS-HIRe for FAIR; L.O. and E.B. thank the COST Action THOR, CA15213. The computational resources have been provided by the LOEWE-Center for Scientific Computing.
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Soloveva, O., Moreau, P., Oliva, L., Song, T., Cassing, W., Bratkovskaya, E. (2020). Transport Coefficients of Hot and Dense Matter. In: Elia, D., Bruno, G.E., Colangelo, P., Cosmai, L. (eds) The XVIII International Conference on Strangeness in Quark Matter (SQM 2019). Springer Proceedings in Physics, vol 250. Springer, Cham. https://doi.org/10.1007/978-3-030-53448-6_70
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DOI: https://doi.org/10.1007/978-3-030-53448-6_70
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