  Gluon interaction introduces remarkable corrections to the magnetic
polarization effects on the chiral fermions, which is known as the inverse
magnetic catalysis. It is a natural speculation that the vorticity, which has
many similar properties as magnetic field, would bring non-negligible
contribution to the chiral rotational suppression. Using the intuitive
semi-classical background field method we studied the rotation dependence of
the effective strong interaction coupling. Contrary to the magnetic field case
the rotation increases the effective coupling which leads to slowing down the
condensate melting procedure with temperature. This could be named as the
chiral vortical catalysis or inverse rotation suppression. Imposing such
dependence to the coupling in the NJL model, we numerically checked this
analysis qualitatively. The pseudo critical temperature is shown to rise with
the rotation and approach saturation eventually which may be induced by the
model cutoff.
