Non-perturbative vacuum polarization effects in planar QED with $ \alpha_g \sim 1$.
The non-perturbative vacuum polarization effects are explored for a planar supercritical Dirac-Coulomb system with strong coupling (similar to graphene and graphene-based heterostructures) and an extended external Coulomb source. Both the induced charge density $\rho_{VP}(\vec{r})$ and the Casimir (vacuum) energy $\mathcal{E}_{VP}$ are considered. The main result is that in the overcritical region $\mathcal{E}_{VP}$ turns out to be negative and behaves like $- \eta_{eff}\, Z^3/R_0\, $ with $\eta_{eff}>0$ and $Z\, , R_0$ being the charge and size of the external source. First we consider the evaluation and behavior of the induced density $\rho_{VP}$, which further is used for calculation of the Casimir energy, with emphasis on the renormalization, convergence of the partial expansion for $\rho_{VP}^{ren}$ and $\mathcal{E}_{VP}^{ren}$ and behavior of the renormalized integral induced charge $Q_{VP}^{ren}$ and $\mathcal{E}_{VP}^{ren}$ in the overcritical region. The dependence of the induced density and vacuum energy on the screening of the Coulomb asymptotics of the external field at some $R_1>R_0$ is also explored in detail.
Publisher URL: http://arxiv.org/abs/1802.05336
DOI: arXiv:1802.05336v1
Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.
Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.