Gauge theory in de Sitter space-time from a holographic model

Yang-Mills (YM) theory with flavor quarks in the dS4 is studied through the dual supergravity in the AdS5×S5 background with nontrivial dilaton and axion. The flavor quarks are introduced by embedding a probe D7 brane. We find that the dynamical properties of YM theory in the dS4 are similar to the case of the finite temperature theory given by the 5d AdS-Schwarzschild background. In the case of dS4, however, contrary to the finite temperature case, the gauge-field condensate plays an important role on the dynamical properties of quarks. We also give the quark-antiquark potential and meson spectra to find possible quark-bound states. We arrive at the conclusion that, while the quarks are not confined in the dS4, we could find stable meson states at very small cosmological constant as expected in the present universe. However, there would be no hadrons at early universe as in the inflation era.