Transition rate and gravitational wave spectrum from first-order QCD phase transitions

Abstract

We investigate the gravitational wave spectrum induced by first-order QCD phase transitions including the deconfinement phase transition in the pure gluon system and Friedberg-Lee model, and chiral phase transition in the quark-meson model and Polyakov quark-meson model. The gravitational wave power spectra are sensitive to the phase transition rate $\beta /H$. All QCD models predict a rather large phase transition rate in the order of $\beta /H\sim 10^4$ at high temperature region, and the produced gravitational waves lie in the peak frequency region of $10^{-4}-0.01\mathrm{Hz}$, corresponding to an energy spectrum in the range of $10^{-8}-10^{-7}$, which can be detected by LISA and Taiji. If a high baryon density is generated through Affleck-Dine baryogenesis or other mechanisms, the baryon chemical potential significantly reduces the phase transition rate, potentially dropping it to the order of $\beta /H\sim 10^1$, leading to the production of nanohertz gravitational waves. Furthermore, a critical quark chemical potential exists with a zero phase transition rate $\beta /H=0$, indicating that the false vacuum will not decay, thus supporting the formation of primordial quark nuggets in the early universe.

17 pages

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