Vacuum energy of one-dimensional supercritical Dirac-Coulomb system

Abstract

Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with $Z>Z_{cr}$ in 1+1 D. Both the vacuum charge density ${\rho }_{vac}(x)$ and vacuum energy $E_{vac}$ are considered. It is shown that in the overcritical region the behavior of vacuum energy could be significantly different from perturbative quadratic growth up to decrease reaching large negative values.

19 pages, 23 figures

References in corpus (2)

• Positronium collapse and the maximum magnetic field in pure QED
• Bethe-Salpeter approach for relativistic positronium in a strong magnetic field

Cited by in corpus (4)

• Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density
• Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. II. Vacuum energy
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• Ferromagnetic phase in graphene-based planar heterostructures induced by charged impurity