fast electric quenches and scaling behavior at finite coupling

We investigate the dynamical response of a gauge theory with a holographic dual at both finite- and infinite-coupling regimes to time-dependent electric field quenches of various profiles. using the ads/cft correspondence, we analyze the resulting electric current as a function of the quench profile and system parameters, including temperature and coupling strength. our study reveals a universal scaling behavior in the early-time response to fast quenches. specifically, we find that for tanh-like quenches, the rescaled first peak of the current scales as (1/δt)0, while for pulse-like quenches, it scales as (1/δt)−1, where δt is the transition time of the electric field. this scaling persists across different theories, including infinite coupling, finitecoupling, and finite temperature, demonstrating its independence from the underlying theory and quench details.