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

2008/11/09 by Bogdan Mihaila, John F. Dawson, Fred Cooper · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.78.116017

published as Phys.Rev.D78:116017,2008 · 4 figs

arxiv created 2008/11/09 · openalex publication_date 2008/12/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 (1+1)-dimensional 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 J, the matter energy density \ensuremathε, and the pressure p 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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