  In this thesis, we study the novel dynamic critical phenomena induced by
superfluidity and the chiral magnetic effect in Quantum Chromodynamics (QCD),
respectively. In particular, we find the new dynamic universality class of the
high-density QCD critical point between the nuclear and quark superfluid phases
beyond the conventional Hohnenberg and Halperin's classification. We also
consider the second-order chiral phase transition under an external magnetic
field and find that the inclusion of the chiral magnetic effect changes the
dynamic universality class from the model E into model A within the
conventional classification.
