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Ground States of Quantum Electrodynamics with Cutoffs

In this paper, we investigate a system of quantum electrodynamics with cutoffs. The total Hamiltonian is defined on a tensor product of a fermion Fock space and a boson Fock. It is shown that, under spatially localized conditions and momentumregularity conditions, the total Hamiltonian has a ground state for all values of coupling constants. In particular, its multiplicity is finite.

preprint2015arXivOpen access
Toshimitsu Takaesu
math-phmath.MP
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Toshimitsu Takaesu

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