Abstract

In this paper, we discuss the holographic phase transition with gluon condensate and the generation of gravitational waves (GWs) from QCD phase transition. We study the phase transition from the thermal dilatonic phase to the dilatonic black hole phase and find the phase transition temperature is proportional to the gluon condensate. After substituting into the phenomenological value of gluon condensate from QCD sum rules, we find $T_c=155.38\ MeV$. In further research, we study the GWs generated from holographic QCD phase transition with gluon condensate and the produced GWs might be detected by the IPTA and SKA. Moreover, the gluon condensate suppresses the energy density of total GWs and peak frequency.

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