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

TL;DR

This paper demonstrates that the non-Abelian Born-Infeld theory, derived from superstring theory, reduces chaos in SU(2) Yang-Mills fields at high field strengths, indicating a stabilizing effect of string non-locality.

Contribution

It shows that Born-Infeld dynamics suppresses chaos in Yang-Mills fields, providing new insights into string-inspired field theories and their classical behavior.

Findings

Born-Infeld dynamics is less chaotic than Yang-Mills.

High field strength stabilizes Yang-Mills chaos.

String non-locality smooths classical field behavior.

Abstract

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.