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math.FA2009★ 3 cited
Ground States of the Yukawa models with Cutoffs
Toshimitsu Takaesu
Ground states of the so called Yukawa model is considered. The Yukawa model describes a Dirac field interacting with a Klein-Gordon field. By introducing both ultraviolet cutoffs a…
math-ph2009★ 5 cited
Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs
Toshimitsu Takaesu
In this paper the Hamiltonian of quantum electrodynamics with spatial cutoffs is investigated. We define a scaled total Hamiltonian and consider its asymptotic behavior. In the mai…