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Description
The propagation of heavy quarks in the thermal medium closely resembles a Brownian motion characterized by the transport coefficients. In the leading order expansion of inverse mass, these transport coefficients, in particular momentum diffusion, are obtained from the correlators of chromo-electric (E) and chromo-magnetic (B) fields. We investigate longitudinal and transverse diffusion coefficients for a non-static heavy quark in the medium. While the longitudinal diffusion coefficient ($\kappa_L(p)$) is related to the EE correlator, the transverse momentum diffusion coefficient ($\kappa_T(p)$) is controlled by both BB and EB correlators. We show that in the perturbative limit, $O(v^2)$ correction to the leading order in both $\kappa_L$ and $\kappa_T$ are purely given by the electric field correlators. In the strong coupling limit, we estimate these field correlators (EE, BB, EB) and hence diffusion coefficients within the classical lattice Yang-Mills theory.