We study gravitational waves from the first-order electroweak phase transition in the $SU(N_c)$ gauge theory with $N_f/N_cgg 1$ (large $N_f$ QCD) as a candidate for the walking technicolor, which is modeled by the $U(N_f)times U(N_f)$ linear sigma model with classical scale symmetry (without mass term), particularly for $N_f=8$ (one-family model). This model exhibits spontaneous breaking of the scale symmetry as well as the $U(N_f)times U(N_f)$ radiatively through the Coleman-Weinberg mechanism $grave{a}$ la Gildener-Weinberg, thus giving rise to a light pseudo dilaton (techni-dilaton) to be identified with the 125 GeV Higgs. This model possess a strong first-order electroweak phase transition due to the resultant Coleman-Weinberg type potential. We estimate the bubble nucleation that exhibits an ultra supercooling and then the signal for a stochastic gravitational wave produced via the strong first-order electroweak phase transition. We show that the amplitude can be reached to the expected sensitivities of the LISA.
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