Temporal breakdown and Borel resummation in the complex Langevin method

► The Parisi-Klauder conjecture is reexamined for complex eiθ/2ϕ4 measures. ► The time dependent moments are evaluated by temporal Borel resummation. ► The results disagree with the Langevin simulations beyond a critical time tc. ►tc increases with decreasing strength of the noise's imaginary part. ► The technical reason for the breakdown is identified.