Fermion production in time-dependent fields
Dennis D. Dietrich
TL;DR
This paper derives the exact fermion propagator in a time-dependent gauge field, enabling calculation of fermion pair production spectra, and compares exact solutions with various approximations.
Contribution
It provides the first exact derivation of the fermion propagator in a classical time-dependent gauge field and analyzes the resulting fermion production spectrum.
Findings
Exact fermion propagator derived in time-dependent fields
Comparison of exact and approximate solutions
Detailed momentum spectrum for fermion pair production
Abstract
The exact fermion propagator in a classical time-dependent gauge field is derived by solving the equation of motion for the Dirac Green's functions. From the retarded propagator obtained in this way the momentum spectrum for the produced fermion pairs is calculated. Different approximations and the exact solution for the propagator and the momentum spectrum are presented.
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