Validity of the Semiclassical Approximation for Quantum Electrodynamics in 1+1 Dimensions. II

Numerical techniques will be discussed that were used to solve the semiclassical backreaction equations for a quantized scalar field and a quantized fermion field interacting with a homogeneous classical electric field in 1+1 dimensions. These include using adiabatic regularization to renormalize the expectation value of the current, $\langle j_\mu \rangle$, and initial conditions for the backreaction and mode equations. Results of numerical calculations will be shown and their implications for the validity of the semiclassical approximation will be discussed.