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Essentially nonperturbative vacuum-polarization effects in a two-dimensional Dirac-Coulomb system for Z > Zcr: vacuum polarization effectsстатья
Информация о цитировании статьи получена из
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Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 29 мая 2019 г.
- Авторы: Sveshnikov K.A., Voronina Yu S., Davydov A.S., Grashin P.A.
- Журнал: Theoretical and Mathematical Physics
- Том: 199
- Номер: 1
- Год издания: 2019
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 534
- Последняя страница: 562
- DOI: 10.1134/S0040577919040056
- Аннотация: For a planar Dirac–Coulomb system with a supercritical extended axially symmetric Coulomb source with a charge Z>Z_{cr,1} and radius R_0, we consider essentially nonperturbative vacuum-polarization effects in the overcritical region. Using results obtained in our preceding paper for the induced charge density ρ_{VP}(\vec{r}), we thoroughly consider the calculation of the vacuum energy E_{VP} based on the renormalization, the convergence of the partial expansion for ρ_{VP}(\vec{r}), and the behavior of the integral induced charge Q_{VP} in the overcritical region. In particular, we show that the renormalization using the fermionic loop with two external legs turns out to be a universal technique, which eliminates the divergence of the theory in the purely perturbative and essentially nonperturbative modes for ρ_{VP}(\vec{r}) and E_{VP}. The most significant result is that for Z \geq Z_{cr,1} in such a system, the vacuum energy becomes a rapidly decreasing function of the source charge Z reaching large negative values; its behavior is estimated from below (in absolute value) as ∼ −|η_{eff} Z^3|/R_0. We also study the dependence of the effect of the decrease in E_{VP} on the cutoff of the Coulomb asymptotics of the external field at different scales R_1 > R_0 and R_1 >> R_0.
- Добавил в систему: Грашин Петр Анатольевич