For the first time, the expected stochastic gravitational wave background is
probably discovered after observing the Hellings Downs correlation curve by
several pulsar timing array (PTA) collaborations around the globe including
NANOGrav, European PTA, Parkes PTA, and Chinese PTA. These new observations can
help to explore the dark matter formation mechanisms in the early universe. We
study the implication of those results on the dynamical dark matter formation
mechanisms through first-order phase transition in the early universe. Both the
Q-ball dark matter and super-cool dark matter are investigated in the strong
super-cooling phase transition which are consistent with the observed
stochastic gravitational wave background.Comment: 22 pages, 6 figures, 1 table; comments are welcom