Quark-meson model under rotation: A functional renormalization group study
Hao-Lei Chen (Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, China, Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China); Zhi-Bin Zhu (Physics Department and Center for Particle Physics and Field Theory, Fudan University, Shanghai 200438, China); Xu-Guang Huang (Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, China, Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China, Physics Department and Center for Particle Physics and Field Theory, Fudan University, Shanghai 200438, China)
Rapid rotation may exist in physical systems such as noncentral heavy ion collisions and neutron stars. Using functional renormalization group analysis of the quark-meson model, we investigate how rotation will affect chiral condensate. Our results show that rotation suppresses the chiral condensate at nonzero temperature. In comparison with mean field calculation, the rotational effect is weakened due to the inclusion of quantum fluctuation. We find that the transition in the diagram is always a crossover due to the causality constraint. Our results confirm previous studies conducted with other model calculations and shed light on the importance of boundary conditions in the infrared region of the theory. We also discuss the periodicity of chiral condensate under imaginary rotation and the necessary condition for analytic continuation to real rotation.
