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 $E_0=-m{e}^4/2{\ln }^2(1/e^6)$.

12 pages, 2 figures

References in corpus (3)

• Modified Coulomb Law in a Strongly Magnetized Vacuum
• Positronium collapse and the maximum magnetic field in pure QED
• A new look at the modified Coulomb potential in a strong magnetic field

Cited by in corpus (6)

• Asymptotic freedom in strong magnetic field
• Modification of Coulomb law and energy levels of the hydrogen atom in a superstrong magnetic field
• Critical nucleus charge in a superstrong magnetic field: effect of screening
• Structure of magnetized strange quark star in perturbative QCD
• Spatial structure of the modified Coulomb potential in a superstrong magnetic field
• Modification of Coulomb law and energy levels of hydrogen atom in superstrong magnetic field