Tropical topology |
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Authors: | Maslov V P |
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Institution: | 1.National Research University Higher School of Economics, Moscow, Russia ;2.Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ; |
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Abstract: | A space-periodic ground state is shown to exist for lattices of point ions in R3 coupled to the Schrödinger and scalar fields. The coupling requires renormalization due to the singularity of the Coulomb self-action. The ground state is constructed by minimizing the renormalized energy per cell. This energy is bounded from below when the charge of each ion is positive. The elementary cell is necessarily neutral. |
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