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Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons
| Title: | Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | quantum mechanics | | quantum field theory | | supersymmetry | | harmonic oscillators | | hamiltonians | | renormalization |
| Issue Date: | Feb-1989 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 30 |
| Issue: | 2 |
| Start Page: | 512 |
| End Page: | 520 |
| Publisher DOI: | 10.1063/1.528417 |
| Abstract: | 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. |
| Rights: | Copyright © 1989 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13680 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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