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arxiv 1709.04239 v1 pith:P65IZI2I submitted 2017-09-13 hep-th physics.atom-phquant-ph

Vacuum energy of one-dimensional supercritical Dirac-Coulomb system

classification hep-th physics.atom-phquant-ph
keywords vacuumenergysupercriticalbehaviorchargeconsideredcoulombdecrease
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with $Z>Z_{cr}$ in 1+1 D. Both the vacuum charge density $\rho_{vac}(x)$ and vacuum energy $E_{vac}$ 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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