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

Abstract

We study the fermion pair production from a strong electric field in boost-invariant coordinates in (3+1) dimensions and exploit the cylindrical symmetry of the problem. This problem has been used previously as a toy model for populating the central-rapidity region of a heavy-ion collision (when we can replace the electric by a chromoelectric field). We derive and solve the renormalized equations for the dynamics of the mean electric field and current of the produced particles, when the field is taken to be a function only of the fluid proper time $\tau =\sqrt{t^2-z^2}$. We determine the proper-time evolution of the comoving energy density and pressure of the ensuing plasma and the time evolution of suitable interpolating number operators. We find that unlike in (1+1) dimensions, the energy density closely follows the longitudinal pressure. The transverse momentum distribution of fermion pairs at large momentum is quite different and larger than that expected from the constant field result.

8 figures

References in corpus (5)

• Multi-particle Production and Thermalization in High-Energy QCD
• Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields
• Fermion pair production in QED and the backreaction problem in (1+1)-dimensional boost-invariant coordinates revisited
• Fermion particle production in semi-classical Boltzmann-Vlasov transport theory
• On the forward cone quantization of the Dirac field in "longitudinal boost-invariant" coordinates with cylindrical symmetry

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• Response of the QED(2) Vacuum to a Quench: Long-term Oscillations of the Electric Field and the Pair Creation Rate
• Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field
• Dynamics of particle production by strong electric fields in non-Abelian plasmas