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We study the fermion pair production from a strong electric field inboost-invariant coordinates in (3+1) dimensions and exploit the cylindricalsymmetry of the problem. This problem has been used previously as a toy modelfor populating the central-rapidity region of a heavy-ion collision (when wecan replace the electric by a chromoelectric field). We derive and solve therenormalized equations for the dynamics of the mean electric field and currentof the produced particles, when the field is taken to be a function only of thefluid proper time $\tau = \sqrt{t^2-z^2}$. We determine the proper-timeevolution of the comoving energy density and pressure of the ensuing plasma andthe time evolution of suitable interpolating number operators. We find thatunlike in (1+1) dimensions, the energy density closely follows the longitudinalpressure. The transverse momentum distribution of fermion pairs at largemomentum is quite different and larger than that expected from the constantfield result.

Backreaction and Particle Production in (3+1)-dimensional QED