Ground States of Quantum Electrodynamics with Cutoffs
Mathematical Physics
2015-09-22 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1509.06136,
title = {Ground States of Quantum Electrodynamics with Cutoffs},
author = {Toshimitsu Takaesu},
journal= {arXiv preprint arXiv:1509.06136},
year = {2015}
}