  Measuring chaos of QCD-like theories is a challenge for formulating a novel
characterization of quantum gauge theories. We define a chaos phase diagram of
QCD allowing us to locate chaos in the parameter space of energy of homogeneous
meson condensates and the QCD parameters such as pion/quark mass. We draw the
chaos phase diagrams obtained in two ways: first, by using a linear sigma
model, varying parameters of the potential, and second, by using the D4/D6
holographic QCD, varying the number of colors $N_c$ and the 't Hooft coupling
constant $\lambda$. A scaling law drastically simplifies our analyses, and we
discovered that the chaos originates in the maximum of the potential, and
larger $N_c$ or larger $\lambda$ diminishes the chaos.

High Energy Physics - Theory