Atomic levels in superstrong magnetic fields and D = 2 QED of massive electrons: Screening

摘要

The photon polarization operator in superstrong magnetic fields induces the dynamical photon "mass" which leads to screening of Coulomb potential at small distances z ? 1/m, m is the mass of an electron. We demonstrate that this behavior 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 ? m~2/e~3 has the finite value E~0 = -me~4/2 ln~2(1/e~6).