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Dirac operators in Boson-Fermion Fock spaces and supersymmetrie quantum field theory

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83305

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
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

Submitter: 数学紀要登録作業用

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