Abstract
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 correspondence, as the large limit provides a classicalization (other than the standard ) while keeping nontrivial quantum condensation. We demonstrate the chaos in the dynamics of quantum gauge theories: The time evolution of homogeneous quark condensates and in an supersymmetric QCD with the gauge group at large and at a large ’t Hooft coupling exhibits a positive Lyapunov exponent. The chaos dominates the phase space for energy density , where is the quark mass. We evaluate the largest Lyapunov exponent as a function of and find that the supersymmetric QCD is more chaotic for smaller .
- Received 26 June 2016
DOI:https://doi.org/10.1103/PhysRevLett.117.231602
© 2016 American Physical Society