Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model

Details Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model

2011-12-12

arxiv.org/abs/1112.2581v1

Physics

Mathematical Physics

Scientific paper

We consider the Hartree-Fock approximation of Quantum Electrodynamics, with the exchange term neglected. We prove that the probability of static electron-positron pair creation for the Dirac vacuum polarized by an external field of strength $Z$ behaves as $1-\exp(-\kappa Z^{2/3})$ for $Z$ large enough. Our method involves two steps. First we estimate the vacuum expectation of general quasi-free states in terms of their total number of particles, which can be of general interest. Then we study the asymptotics of the Hartree-Fock energy when $Z\to+\infty$ which gives the expected bounds.

Affiliated with

Also associated with

No associations

Rating

Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709115