Inhomogeneous SU(2) gluon matter under rotation

In this work a rotating SU(2) gluon system has been studied with the framework of a dyon ensemble. By solving the rotation-modified Yang-Mills equation we have obtained rotational corrections to the so-called dyon solutions with arbitrary centers to $\mathcal{O}({\ensuremath{\omega}}^{2})$ order and the corresponding semiclassical potential. In the dyon dilute limit, the radial position-dependent deconfinement temperature has been obtained by minimizing the semiclassical potential in both real and imaginary angular velocity cases. Although without the rotation-dependent coupling constant the critical temperature, as a function of $\ensuremath{\omega}$, behaves differently from the lattice simulation at each radial position, its radial dependence is qualitatively the same as the recent lattice result. That is, in the real velocity case the outer layer will deconfine in a more difficult manner while the reverse is true in the imaginary velocity case.