Fermion pair production in QED and the backreaction problem in (1+1)-dimensional boost-invariant coordinates revisited

Abstract

We study two different initial conditions for fermions for the problem of pair production of fermions coupled to a classical electromagnetic field with backreaction in \oneplusone boost-invariant coordinates. Both of these conditions are consistent with fermions initially in a vacuum state. We present results for the proper time evolution of the electric field $E$, the current, the matter energy density, and the pressure as a function of the proper time for these two cases. We also determine the interpolating number density as a function of the proper time. We find that when we use a "first order adiabatic" vacuum initial condition or a "free field" initial condition for the fermion field, we obtain essentially similar behavior for physically measurable quantities. The second method is computationally simpler, it is twice as fast and involves half the storage required by the first method.

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References in corpus (1)

• On the forward cone quantization of the Dirac field in "longitudinal boost-invariant" coordinates with cylindrical symmetry

Cited by in corpus (6)

• Fermion particle production in semi-classical Boltzmann-Vlasov transport theory
• Pair creation in boost-invariantly expanding electric fields and two-particle correlations
• Pair creation, backreaction, and resummation in strong fields
• Response of the QED(2) Vacuum to a Quench: Long-term Oscillations of the Electric Field and the Pair Creation Rate
• Backreaction effect and plasma oscillation in pair production for rapidly oscillating electric fields
• Dynamics of particle production by strong electric fields in non-Abelian plasmas