Casimir (vacuum) energy in planar QED with strong couplingстатья

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Дата последнего поиска статьи во внешних источниках: 6 марта 2019 г.

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[1] Casimir (vacuum) energy in planar qed with strong coupling / Y. Voronina, K. Sveshnikov, P. Grashin, A. Davydov // Physica E: Low-Dimensional Systems and Nanostructures. — 2019. — Vol. 109. — P. 209–224. The essentially non-perturbative vacuum polarization effects, caused by an extended external supercritical Coulomb source, are explored for a planar Dirac-Coulomb (DC) system with strong coupling (similar to graphene and graphene-based heterostructures). Taking account of results, obtained in [?]#123;partI2018} for the induced charge density ρ_{VP}({r}), in the present paper the evaluation of the Casimir (vacuum) energy {E}_{VP} is presented. The main result is that for a wide range of the system parameters in the overcritical region {E}_{VP} turns out to be a rapidly decreasing negative function ∼- Z3/R_0 with Z , R_0 being the charge and the size of the external source. By an explicit calculation the possibility for complete screening of the electrostatic reflection self-energy of the external source by such polarization effects for Z Z_{cr,1} is demonstrated. The dependence of the Casimir energy on the screening of the Coulomb asymptotics of the external source at some R_1>R_0 is also explored in detail, and some peculiar effects in the partial channels with the lowest rotational numbers m_j=±1/2 , ±3/2 in the screened case are also discussed. [ DOI ]

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