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Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved
| Title: | Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | Canonical anticommutation relations | | fermion Fock space | | inequivalent representation | | mass | | quantum Dirac field |
| Issue Date: | May-2017 |
| Publisher: | European Mathematical Society |
| Citation: | Functional analysis and operator theory for quantum physics |
| Start Page: | 31 |
| End Page: | 53 |
| Publisher DOI: | 10.4171/175-1/2 |
| Abstract: | A family of irreducible representations of the canonical anticommutation relations over an abstract Hilbert space indexed by a set of bounded linear operators is presented and a theorem on the mutual equivalence of them is established. As an application of the theorem, it is proved that quantum Dirac fields of different masses are mutually inequivalent. Moreover, a new class of irreducible representations of the CAR over a Hilbert space, which includes, as a special case, time-zero quantum Dirac fields, is constructed. |
| Type: | bookchapter (author version) |
| URI: | http://hdl.handle.net/2115/68217 |
| 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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