Particle-antiparticle pair production from vacuum and the imaginary proper time method

Abstract

Using the imaginary proper time method, based on the Fock method of solving the relativistic wave equations, the process of fermionic and scalar pairs production from a vacuum by a constant uniform electric field is considered. The relative (conditional) probability of the one pair production, which does not depend on the possible production of other pairs, was obtained with exponential accuracy, and the absolute probability of pair production, which takes into account the particle statistics, was obtained with pre-exponential accuracy.