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Measuring chaos of QCD-like theories is a challenge for formulating a novelcharacterization of quantum gauge theories. We define a chaos phase diagram ofQCD allowing us to locate chaos in the parameter space of energy of homogeneousmeson condensates and the QCD parameters such as pion/quark mass. We draw thechaos phase diagrams obtained in two ways: first, by using a linear sigmamodel, varying parameters of the potential, and second, by using the D4/D6holographic QCD, varying the number of colors $N_c$ and the 't Hooft couplingconstant $\lambda$. A scaling law drastically simplifies our analyses, and wediscovered that the chaos originates in the maximum of the potential, andlarger $N_c$ or larger $\lambda$ diminishes the chaos.

Phase diagram of QCD chaos in linear sigma models and holography