Vacuum polarization of planar charged fermions with Coulomb and Aharonov--Bohm potentialsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 6 апреля 2016 г.
Аннотация:Vacuum polarization of charged massless fermions is investigated in
the superposition of Coulomb and Aharonov--Bohm (AB) potentials in 2+1 dimensions.
For this purpose we construct the Green function of the two-dimensional Dirac equation
with Coulomb and AB potentials (via the regular and
irregular solutions of the radial Dirac equation) and
then calculate the vacuum polarization charge density
in the so-called subcritical and supercritical regimes. In the supercritical regime,
the Green function has a discontinuity in the complex plane of ``energy"
due to the singularities on the negative energy axis; these singularities are
situated on the unphysical sheet and related to
the creation of infinitely many quasistationary fermionic states with negative
energies. We expect that our results will be helpful in the more deep understanding
the fundamental problem of quantum electrodynamics and can be applied to the
problems of charged impurity screening in graphene with taking into consideration the electron spin.