Chiral symmetry restoration in a rotating medium

Abstract: 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.