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We study the dynamic critical phenomena near the possible high-density QCDcritical point inside the superfluid phase of nuclear and quark matter. We findthat this critical point belongs to a new dynamic universality class beyond theconventional classification by Hohenberg and Halperin. We show that the speedof the superfluid phonon vanishes at the critical point and that the dynamiccritical index is $z \approx 2$.

New dynamic critical phenomena in nuclear and quark superfluids