Stabilization of Yang–Mills chaos in non-Abelian Born–Infeld theory

We investigate dynamics of the homogeneous time-dependent $SU(2)$ Yang-Mills fields governed by the non-Abelian Born-Infeld lagrangian which arises in superstring theory as a result of summation of all orders in the string slope parameter $\alpha'$. It is shown that generically the Born–Infeld dynamics is less chaotic than that in the ordinary Yang–Mills theory, and at high enough field strength the Yang–Mills chaos is stabilized. More generally, a smothering effect of the string non-locality on behavior of classical fields is conjectured.