Atomic levels in superstrong magnetic fields and D=2 QED of massive electrons: screening
Vysotsky, M. I.
Original · EN
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 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 ≫ m²/e³ has the finite value E₀ = -me⁴/2 ²(1/e⁶).
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