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Assigning a chaos index for dynamics of generic quantum field theories is a challenging problem because the notion of a Lyapunov exponent, which is useful for singling out chaotic behavior, works only in classical systems. We address the issue by using the AdS/CFT correspondence, as the large N₂ limit provides a classicalization (other than the standard 0) while keeping nontrivial quantum condensation. We demonstrate the chaos in the dynamics of quantum gauge theories: The time evolution of homogeneous quark condensates ⟨qq⟩ and ⟨q₅q⟩ in an N=2 supersymmetric QCD with the SU (N₂) gauge group at large N₂ and at a large 't Hooft coupling N₂gₘ₌^2 exhibits a positive Lyapunov exponent. The chaos dominates the phase space for energy density E (610^2) mₐ^4 (N₂/^2), where mₐ is the quark mass. We evaluate the largest Lyapunov exponent as a function of (N₂, , E) and find that the N=2 supersymmetric QCD is more chaotic for smaller N₂.
Hashimoto et al. (Wed,) studied this question.