Plane density of induced vacuum charge in a supercritical Coulomb potential
arXiv:1604.01271 · doi:10.1016/j.physletb.2017.03.052
Abstract
An expression for the density of a planar induced vacuum charge is obtained in a strong Coulomb potential in coordinate space. Treatment is based on a self-adjoint extension approach for constructing of the Green's function of a charged fermion in this potential. Induced vacuum charge density is calculated and analyzed at the subcritical and supercritical Coulomb potentials for massless and massive fermions. The behavior of the obtained vacuum charge density is investigated at long and short distances from the Coulomb center. The induced vacuum charge has a screening sign. Screening of a Coulomb impurity in graphene is briefly discussed. We calculate the real vacuum polarization charge density that acquires the quantum electrodynamics vacuum in the supercritical Coulomb potential due to the so-called real vacuum polarization. It is shown that the vacuum charge densities essentially differ in massive and massless cases. We expect that our results can, as a matter of principle, be tested in graphene with a supercritical Coulomb impurity.
12 pages. arXiv admin note: substantial text overlap with arXiv:1601.07668
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Quantum transport of massless Dirac fermions in graphene
- The Coulomb impurity problem in graphene
- Vacuum Polarization and Screening of Supercritical Impurities in Graphene
- Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
- Atomic Collapse and Quasi-Rydberg States in Graphene
- The Schwinger mechanism and graphene
- Supercritical Coulomb center and excitonic instability in graphene
- Supercritical Coulomb Impurities in Gapped Graphene
- Screening of Coulomb Impurities in Graphene
- Coulomb impurity in graphene
- Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
- Vacuum polarization of graphene with a supercritical Coulomb impurity: Low-energy universality and discrete scale invariance
- Scattering of spin-polarized electron in an Aharonov--Bohm potential
- On planar quantum dynamics of a magnetic dipole moment in the presence of electric and magnetic fields
- Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
- Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
- Vacuum polarization of charged massless fermions in Coulomb and Aharonov--Bohm fields