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Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a scalar field

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83526

Title: Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a scalar field
Authors: Hiroshima, F. Browse this author
Issue Date: 1-May-1997
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 380
Start Page: 1
End Page: 39
Abstract: A functional integral representation of a heat semigroup acting on a Hilbert space is constructed. Its generator describes an interaction between particles and a quantized field. By using the functional integral representation, for the Nelson model with a nonnegative mass we investigate a weak coupling limit which removes an ultraviolet cut-off. As a result, it is shown that a many-body Schrodinger Hamiltonian with the many-body Coulomb potential (or the many-body Yukawa potential) appears in the limit.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69130
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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