Chromoelectric and chromomagnetic correlators at high temperature from gradient flow

Abstract

The heavy quark diffusion coefficient is encoded in the spectral functions of the chromoelectric and the chromomagnetic correlators that are calculable on the lattice. We study the chromoelectric and the chromomagnetic correlator in the deconfined phase of SU(3) gauge theory using Symanzik flow at two temperatures 1.5𝑇 𝑐 and 10000𝑇 𝑐 , with 𝑇 𝑐 being the phase transition temperature. To control the lattice discretization errors and perform the continuum limit we use several temporal lattice extents 𝑁 𝑡 = 16, 20, 24 and 28. We observe that the flow time dependence of the chromomagnetic correlator is quite different from chromoelectric correlator most likely due to the anomalous dimension of the former as has been pointed out recently in the literature.

Heavy quark diffusion coefficient with gradient flow

“…Our main result is summarized in Eqs. ( 32), (33) and (34). Our results for κ E agree with the previous determinations [22,33,51] within the estimated uncertainties.…”

“…IV. Preliminary version of these results have been published in a recent conference proceedings [34].…”

“…Also, preliminary measurements of the chromomagnetic correlator required for κ B have been performed with the gradient flow and presented in conference proceedings by two groups using gradient flow [33,34].…”

Heavy quarks at finite temperature

“…If the initial operator was chosen such that it cannot mix with other operators, the renormalized continuum result is obtained. While the comparison of the renormalized continuum results obtained via gradient flow, or via multi-level algorithm with one-loop renormalization factor suggests small differences between the renormalization factors, the overall time and temperature dependence of these correlators is in good agreement given the quoted errors [30,31]. Obviously, the need for modeling the spectral functions to solve the inverse problem in Eq.…”

“…( 11) is related to the O ( / ℎ ) corrections to . Preliminary results of the first such calculations have been reported at this conference [31,32]. The imaginary part in Eq.…”