Spin alignment of vector mesons from quark dynamics in a rotating medium

Vorticities in heavy-ion collisions (HICs) are supposed to induce spin alignment and polarization phenomena of quarks and mesons. In this work, we analyze the spin alignment of vector mesons f and ? induced by rotation from quark dynamics in the framework of the Nambu-Jona-Lasinio (NJL) model. The rotating angular velocity induces mass splitting of spin components for vector ?,? mesons M-?,M-?(?) ? M-?,M-?(? = 0) - s(z)?. This behavior contributes to the spin alignment of vector mesons ?,? in an equilibrium medium and naturally explains the negative deviation ?(00) of -1/3 for vector mesons. Incidentally, the positive deviation ?(00) of -1/3 under the magnetic field can also be easily understood from quark dynamics.