Transport Coefficient to Trace Anomaly in the Clustering of Color Sources Approach

摘要

From our previously obtained shear viscosity to entropy density ratio($\eta/s$) in the framework of clustering of color sources (Color StringPercolation Model: CSPM), we calculate the jet quenching parameter $\hat {q}$and trace anomaly $\Delta = (\varepsilon -3\it p)/T^{4}$ as a function oftemperature. It is shown that the scaled $\hat {q}/T^{3}$ is in agreement withthe recent JET Collaboration estimates. The inverse of $\eta/s$ is found torepresent $\Delta$. The results for $\Delta$ are in excellent agreement withLattice Quantum Chromo Dynamics (LQCD) simulations. From the trace anomaly andenergy density $\epsilon$, the equation of state is obtained as a function oftemperature and compared with LQCD simulations. It is possible that there is adirect connection between the $\eta/s$ and $\Delta$. Thus the estimate oftransport coefficient $\eta/s$ provides $\hat {q}$ and $\Delta$ as a functionof temperature. Both $\Delta$ and $\eta/s$ describe the transition from astrongly coupled QGP to a weakly coupled QGP.