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Inequivalence of Quantum Dirac Fields of Different Masses and General Structures Behind

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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
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

Submitter: 数学紀要登録作業用

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