# Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density

@article{Davydov2017NonperturbativeVP, title={Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density}, author={Andrey Davydov and K. Sveshnikov and Yulia E. Voronina}, journal={arXiv: High Energy Physics - Theory}, year={2017} }

Non-perturbative vacuum polarization effects are explored for a supercritical Dirac-Coulomb system with $Z > Z_{cr,1}$ in 2+1 D, based on the original combination of analytical methods, computer algebra and numerical calculations, proposed recently in Refs. [1]-[3]. Both the vacuum charge density $\rho_{VP}(\vec{r})$ and vacuum energy $\mathcal{E}_{VP}$ are considered. Due to a lot of details of calculation the whole work is divided into two parts I and II. Taking account of results, obtained…

## 9 Citations

### Essentially Nonperturbative Vacuum Polarization Effects in a Two-Dimensional Dirac-Coulomb System for Z > Zcr: Vacuum Polarization Effects

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For a planar Dirac-Coulomb system with a supercritical extended axially symmetric Coulomb source with a charge Z > Zcr,1and radius R0, we consider essentially nonperturbative vacuum polarization…

### Vacuum charge and current densities in the supercritical two-dimensional Dirac–Coulomb system in a magnetic field with an axial-vector potential

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We consider nonperturbative vacuum polarization effects in the supercritical region for a planar Dirac–Coulomb system with a supercritical extended axially symmetric Coulomb source with a charge $$Z…

### Casimir (vacuum) energy in planar QED with strong coupling

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### Essentially Nonperturbative Vacuum Polarization Effects in a Two-Dimensional Dirac–Coulomb System with Z > Zcr: Vacuum Charge Density

- PhysicsTheoretical and Mathematical Physics
- 2019

For a planar Dirac–Coulomb system with a supercritical axially symmetric Coulomb source with the charge Z > Zcr,1 and radius R0, we consider essentially nonperturbative vacuum-polarization effects.…

### Essentially non-perturbative and peculiar polarization effects in planar QED with strong coupling

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### Estimating the radiative part of QED effects in systems with supercritical charge

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The effective interaction of the electron magnetic moment anomaly with the Coulomb fileld of superheavy nuclei is investigated by taking into account its dynamical screening at small distances. The…

### Casimir force variability in one-dimensional QED systems

- PhysicsPhysical Review A
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The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour…

### Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity

- PhysicsAnnalen der Physik
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The spontaneous self‐consistent generation of axial current and corresponding dipole‐like magnetic field in a planar electron–positron system similar to graphene and related heterostructures doped by…

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