Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model
نویسندگان
چکیده
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(−κZ2/3) 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 → +∞ which gives the expected bounds.
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