  The phenomenology of LiFeAs superconductor can be explained in the framework
of a four-band s$\pm$-wave Eliashberg theory. We have examined the experimental
data available in literature and we have found out that it is possible to
reproduce the experimental critical temperature, the gap values and the upper
critical magnetic field within an effective model in moderate strong-coupling
regime that must include both an intraband term $\lambda_{11}\sim0.9$ and an
interband spin-fluctuations ($\lambda_{tot}^{sf}\sim1.5$) coupling. The
presence of a non negligible intraband coupling can be a fictitious effect of
the violation of Migdal's Theorem.
