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VOLUME 92 (2010) | ISSUE 1 | PAGE 22
Atomic levels in superstrong magnetic fields and D=2 QED of massive electrons: screening
Abstract
The photon polarization operator in superstrong magnetic fields induces the dynamical photon «mass» which leads to screening of Coulomb potential at small distances z\ll 1/m, m is the mass of an electron. We demonstrate that this behaviour is qualitatively different from the case of D=2 QED, where the same formula for a polarization operator leads to screening at large distances as well. Because of screening the ground state energy of the hydrogen atom at the magnetic fields B \gg m^2/e^3 has the finite value E_0 = -me^4/2 \ln^2(1/e^6).