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We study the electron-positron pair production process in strong backgroundelectric fields with spatio-temporal inhomogeneity in the time-dependent BasisLight-front Quantization approach. We calculate the observables such as theinvariant mass and the longitudinal momentum distribution of the produced pairsas functions of evolution time and compare the vacuum decay rate with that ofthe Schwinger effect. We observe a critical intensity of background field,above which the vacuum decay rate is no longer oscillating with timeperiodically as in perturbation theory. This work may provide the foundationfor the study of the pair production process in strong fields with realisticspacetime structures.

Pair production in strong electric fields