  We study the nature of the chiral symmetry restoration within the Yukawa
model with spontaneous symmetry breaking. We work with scalar and fermion
fields which are subject to the effects of a rotating system. In this work, we
show the derivation of the scalar field propagator in a rotating medium using
the Fock-Schwinger proper-time method. We compute analytically the effective
potential in the high-temperature approximations, including the contribution of
the ring diagrams to account for the plasma screening properties. We study the
chiral transition as we vary the angular velocity $\Omega$, the boson
self-coupling $\lambda$ and the fermion-boson coupling $g$. We show that the
critical temperature for the restoration of chiral symmetry always starts with
decreasing behaviour, until it reaches a minimum and from there when increasing
$\Omega$, we observe $T_c$ increases monotonically. In all the phase transition
lines in the $T-\Omega$ plane reported, we obtain that the rotating effects are
able to change the order of the phase transition.
