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We calculate the quasiparticle properties of $\rm{MoS_2}$ monolayer at $T=0$considering the dynamical electron-electron interaction effect withinrandom-phase-approximation (RPA). The calculations are carried out for anelectron-doped slab of $\rm{MoS_2}$ monolayer using a minimal massive DiracHamiltonian and the quasi-two-dimensional nature of the Coulomb interaction inthis system is taken into account considering a modified interaction of Keldyshtype. Having calculated the real and imaginary parts of the retardedself-energy, we find the spectral function and discuss the impact of extrinsicvariables such as the dielectric medium and the charge carrier density on theappearance and position of the quasiparticle peaks. We also report the resultsof the renormalization constant and the effective Fermi velocity calculationsin a broad range of the coupling constant and carrier density. We show that theeffective Fermi velocity obtained solving the self-consistent Dyson equationhas an absolutely different behavior from the one found from the on-shellapproximation. Our results show that the nonlocal dielectric screening of themonolayer tends to stabilize the Fermi liquid picture in $\rm{MoS_2}$ monolayerand that the interaction strength parameter of this system is a multivariablefunction of the coupling constant, carrier density, and also the screeninglength.

Many-body exchange-correlation effects in MoS$_2$ monolayer: The key role of nonlocal dielectric screening