Chiral symmetry restoration in a rotating medium

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.