Vacuum energy of one-dimensional supercritical Dirac-Coulomb system
Abstract
Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with Z>Zcr in 1+1 D. Both the vacuum charge density vac(x) and vacuum energy Evac are considered. It is shown that in the overcritical region the behavior of vacuum energy could be significantly different from perturbative quadratic growth up to decrease reaching large negative values.
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