More on chaos at weak coupling

Abstract

Abstract We discuss aspects of the quantum Lyapunov exponent λ L in theories with an exactly marginal SYK-like random interaction, where λ L can be computed as a continuous function of the interaction strength J $$ \mathcal{J} $$ . In 1d, we prove a conjecture from [1] which states that at small J $$ \mathcal{J} $$ , λ L can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.

Keywords

• Random Systems
• Integrable Field Theories
• Effective Field Theories
• Field Theories in Lower Dimensions