Path Integral Representation of the Index of Kahler-Dirac Operators on an Infinite Dimensional Manifold

Arai, A.

Hokkaido University Preprint Series in Mathematics, 1987, 3, 1-68

Permalink : https://doi.org/10.14943/48865

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DOI	https://doi.org/10.14943/48865
URI	https://hdl.handle.net/2115/45275
タイトル	Path Integral Representation of the Index of Kahler-Dirac Operators on an Infinite Dimensional Manifold
著者	e-Rad_Researcher 80134807 著者名 Arai, A.
言語	英語
キーワード	81-xx QUANTUM THEORY
発行日	1987-06
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	3
ページ	1-68
記述	This work was supported by the Grant-In-Aid, No.62740072 and No.6246000l for science research from the Ministry of Education ( Japan ).
抄録	Operators of Kahler-Dirac type are defined in an abstract infinite dimensional Boson-Fermion Fock space and a path integral representation of their index is established. As preliminaries to this end, some trace formulas associated with "Gibbs states" are derived in both an abstract Boson and Fermion Fock space. This is done by introducing Euclidean Bose and Fermi fields at "finite temperature" in each case. In connection with supersymmetric. quantum field theories, the result gives a path integral formula of the so-called "Witten index" in a model with cutoffs.
資源タイプ	紀要論文
出版タイプ	Version of Record