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Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a scalar field
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 |
Publisher: | Department of Mathematics, Hokkaido University |
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
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Submitter: 数学紀要登録作業用
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