Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system II. Vacuum energy

DOI10.1142/S0217751X18500057zbMath1381.81127arXiv1712.02703MaRDI QIDQ4602750

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

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/1712.02703

zbMATH Keywords

vacuum polarizationnonperturbative effectscritical chargesplanar graphene-based heterostructuressupercritical fieldstoy-model of the \(3+1\) 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)

Related Items (4)

Casimir interactions between two short-range Coulomb sources ⋮ Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity ⋮ 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

Cites Work

• Quantum field theory techniques in graphical enumeration
• Vacuum effects for a one-dimensional ``hydrogen atom with \(Z > Z_{\mathrm{cr}}\)
• Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system I. Vacuum charge density
• Vacuum energy of one-dimensional supercritical Dirac–Coulomb system
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