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arXiv · 1005.5695

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

M. I. Vysotsky
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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 $E_0 = -me^4/2 \ln^2(1/e^6)$.

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M. I. Vysotsky. 2010-05-31. Atomic levels in superstrong magnetic fields and D=2 QED of massive electrons: screening. https://doi.org/10.1134/s0021364010130035

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