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- W2081569896 abstract "An interaction system consisting of particles and a quantized scalar field is considered. The Hamiltonian of the system is defined as a self-adjoint operator in a Hilbert space. An ultraviolet cutoff is imposed on the Hamiltonian. A renormalized Hamiltonian is defined by subtracting a renormalization term from the Hamiltonian. Our aim in this paper is to remove the ultraviolet cutoff and take the weak coupling limit simultaneously for the renormalized Hamiltonian. By using a functional integral that contains a vector-valued stochastic integral, a Schrödinger Hamiltonian with a many-body Coulomb potential (resp., Yukawa potential) is derived, if the mass of the quantized scalar field is zero (resp., positive)." @default.
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- W2081569896 date "1999-03-01" @default.
- W2081569896 modified "2023-10-16" @default.
- W2081569896 title "Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field" @default.
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- W2081569896 doi "https://doi.org/10.1063/1.532796" @default.
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