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.

arXiv comment19 pages, 23 figures

References in corpus (4)

• Excitons in one-dimensional Mott insulators
• Electrons above a Helium Surface and the One-Dimensional Rydberg Atom
• Positronium collapse and the maximum magnetic field in pure QED
• Bethe-Salpeter approach for relativistic positronium in a strong magnetic field

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• Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. II. Vacuum energy
• Estimating the radiative part of QED effects in superheavy nuclear quasimolecules
• Ferromagnetic phase in graphene-based planar heterostructures induced by charged impurity
• Perturbativity vs non-perturbativity in QED-effects for H-like atoms with $Z\alpha >1$
• Estimating the radiative part of QED effects in systems with supercritical charge