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Dirac operators in Boson-Fermion Fock spaces and supersymmetrie quantum field theory
| Title: | Dirac operators in Boson-Fermion Fock spaces and supersymmetrie quantum field theory |
| Authors: | Arai, Asao Browse this author |
| Keywords: | infinite dimensional analysis | | Dirac operator | | Boson-Fermion Fock space | | path (functional) integral | | index theorem | | supersymmetric quantum field theory |
| Issue Date: | Aug-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 161 |
| Start Page: | 2 |
| End Page: | 30 |
| Abstract: | Infinite dimensional analysis is developed on an abstract Boson-Fermion Fock space. A general class of Dirac operators acting there is introduced and properties of them are investigated. An index theorem for the Dirac operators is established in terms of a path integral on ,a loop space. It is shown that the abstract formalism presented here gives a mathematical unification for some models of supersymmetric quantum field theory. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68907 |
| 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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