Chiral vortical catalysis

Abstract Gluon interaction introduces remarkable corrections to the magnetic polarization effects on chiral fermions, which is known as inverse catalysis. It a natural speculation that vorticity, has many similar properties field, would bring non-negligible contribution rotational suppression. Using an intuitive semi-classical background field method we studied rotation dependence of effective strong coupling constant. Contrary case increases slow down condensate melting with temperature. This could be named vortical catalysis or Imposing such 4-fermion in NJL model, numerically checked this analysis qualitatively. The pseudo critical temperature shown rise and approach saturation eventually may induced by model cutoff.