Real time quarkonium transport coefficients in open quantum systems from Euclidean QCD

Recent open quantum system studies showed that quarkonium time evolution inside the quark-gluon plasma is determined by transport coefficients that are defined in terms of a gauge invariant correlator of two chromoelectric field operators connected by an adjoint Wilson line. We study the Euclidean version of the correlator for quarkonium evolution and discuss the extraction of the transport coefficients from this Euclidean correlator, highlighting its difference from other problems that also require reconstructing a spectral function, such as the calculation of the heavy quark diffusion coefficient. Along the way, we explain why the transport coefficient gamma adj differs from gamma fund at finite temperature at Oog4 thorn , in spite of the fact that their corresponding spectral functions differ only by a temperature-independent term at the same order. We then discuss how to evaluate the Euclidean correlator via lattice QCD methods, with a focus on reducing the uncertainty caused by infrared renormalons in determining the renormalization factor nonperturbatively.

Automated summary

This study investigates the evolution of quarkonium inside a quark-gluon plasma and the extraction of transport coefficients from the Euclidean correlator. It explains the differences between transport coefficients and spectral functions at finite temperature and discusses the evaluation of the Euclidean correlator using lattice QCD methods.