The properties of the lightest scalar mesons in a holographic QCD model

We study a mixing structure of light scalar mesons corresponding to the two-quark state, four-quark state and the glueball state using a bottom-up holographic QCD model. In our model, the geometry of the five dimensional space-time and the vacuum expectation value of the glueball field are determined through the Einstein equation by requiring that the dilaton potential can reproduce the asymptotic freedom of QCD and the glueball field arises as the fluctuation with respect to the gravity background. By using the geometry as a background, we add the scalar field corresponding to the two-quark state and four-quark state. Using this model, we study the spectra of the light iso-scalar scalar mesons and the mixing among the glueball, the two-quark states and four-quark states.