Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system I. Vacuum charge density

DOI10.1142/S0217751X18500045zbMath1381.81126arXiv1712.02704MaRDI QIDQ4602749

A. S. Davydov, Yu. S. Voronina, K. A. Sveshnikov

Publication date: 1 February 2018

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02704

zbMATH Keywords

vacuum polarizationnonperturbative effectscritical chargesplanar graphene-based heterostructuressupercritical fieldstoy-model for \(3+1\) D problem

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Critical phenomena in equilibrium statistical mechanics (82B27) Casimir effect in quantum field theory (81T55) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity ⋮ Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system II. Vacuum energy ⋮ Essentially nonperturbative vacuum polarization effects in a two-dimensional Dirac-Coulomb system for \(Z > Z_{\mathrm{cr}}\): vacuum polarization effects ⋮ Vacuum charge and current densities in the supercritical two-dimensional Dirac-Coulomb system in a magnetic field with an axial-vector potential ⋮ Essentially nonperturbative vacuum polarization effects in a two-dimensional Dirac-Coulomb system with \(Z > Z_{cr}\): vacuum charge density

Cites Work

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• Vacuum effects for a one-dimensional ``hydrogen atom with \(Z > Z_{\mathrm{cr}}\)
• The Dirac Hamiltonian with a superstrong Coulomb field
• Vacuum polarization of planar charged fermions with Coulomb and Aharonov–Bohm potentials
• Vacuum Polarization in a Strong Coulomb Field
• Electronic structure of super heavy atoms revisited
• Vacuum energy of one-dimensional supercritical Dirac–Coulomb system
• Effects of Configuration Interaction on Intensities and Phase Shifts

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