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 Ω, the boson self-coupling λ and the fermion-boson coupling g. We show that the critical temperature for the restoration of chiral symmetry always starts with decreasing behavior, until it reaches a minimum and from there when increasing Ω, we observe Tc increases monotonically. In all the phase transition lines in the T−Ω plane reported, we obtain that the rotating effects are able to change the order of the phase transition.

• Received 2 May 2023
• Accepted 24 October 2023

DOI:https://doi.org/10.1103/PhysRevD.108.094020

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society