  We investigate the interplay of spin-orbit coupling (SOC) and electronic
correlations in Sr2RuO4 using dynamical mean-field theory. We find that SOC
does not affect the correlation-induced renormalizations, which validates the
Hund's metal picture of ruthenates even in the presence of the sizable SOC
relevant to these materials. Nonetheless, SOC found to change significantly the
electronic structure at k-points where a degeneracy applies in its absence. We
explain why these two observations are consistent with one another and
calculate effects of SOC on the correlated electronic structure. The magnitude
of these effects is found to depend on the energy of the quasiparticle state
under consideration, leading us to introduce the notion of an "energy-dependent
quasiparticle spin-orbit coupling". This notion is generally applicable to all
materials in which both the spin-orbit coupling and electronic correlations are
sizable.
