Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons

Arai, Asao

Journal of Mathematical Physics, 1989, 30(2), 512-520

Permalink : https://hdl.handle.net/2115/13680

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アクセス権	open access
URI	https://hdl.handle.net/2115/13680
タイトル	Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons
著者	e-Rad_Researcher 80134807 著者名 Arai, Asao
言語	英語
キーワード	quantum mechanics
	quantum field theory
	supersymmetry
	harmonic oscillators
	hamiltonians
	renormalization
発行日	1989-02
出版者	American Institute of Physics
収録物名	Journal of Mathematical Physics
巻(号)	30(2)
ページ	512-520
抄録	A mathematically rigorous analysis is given on supersymmetric embedding of a model of a one-dimensional quantum harmonic oscillator interacting with infinitely many bosons moving in the s-dimensional space Rs. The model is exactly soluble. By a rigorous explicit construction of supersymmetric quantum field theories, it was proven that the Hamiltonian of the model is supersymmetrically embeddable if it is non-negative. The index of the Dirac- Kähler-type operators associated with the supercharges of the supersymmetric quantum field theories is computed.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 1989 American Institute of Physics
PISSN	0022-2488
EISSN	1089-7658
関連情報	URI http://www.aip.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1063/1.528417