Inverse magnetorotational catalysis and the phase diagram of a rotating hot and magnetized quark matter

We study the properties of a hot and magnetized quark matter in rotating cylinder presence constant magnetic field. To do this, we solve corresponding Dirac equation using Ritus eigenfunction method. This leads to energy dispersion relation, eigenfunctions, quantization relation for fermions. avoid causality-violating effects, impose certain global boundary condition, its effect, particular, on eigenmodes relations Using fermion propagator arising from this method, then gap at zero nonzero temperatures. At temperature, dynamical mass $\bar{m}$ does not depend angular frequency, as expected. thus dependence distance $r$ relative axis rotation field $B$, explore finite size effect various couplings $G$. consider temperature case. The $T$, frequency $\Omega$, $G$ is studied. show that decreases, general, with $B$ $\Omega$. ''inverse magneto-rotational catalysis (IMRC)'' or ''rotational inhibition'', previously discussed literature. evidence phase diagrams our model, examine portraits critical $T_c$ well $\Omega_c$ respect $G, B,\Omega$, B, T$, $r$, respectively. $T_{c}$ decrease, $B$. interpreted clear IMRC.