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Inequivalence of Quantum Dirac Fields of Different Masses and General Structures Behind
Title: | Inequivalence of Quantum Dirac Fields of Different Masses and General Structures Behind |
Authors: | Arai, Asao Browse this author |
Keywords: | canonical anticommutation relations | fermion Fock space | inequivalent representation | mass | quantum Dirac eld. |
Issue Date: | 28-Dec-2015 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1086 |
Start Page: | 1 |
End Page: | 20 |
Abstract: | A family of irreducible representations of the canonical anticommutation rela- tions (CAR) 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 estab- lished. As an application of the theorem, it is proved that quantum Dirac elds 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 elds, is constructed. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69890 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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