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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Dirac quantum fields on a manifold


Author: J. Dimock
Journal: Trans. Amer. Math. Soc. 269 (1982), 133-147
MSC: Primary 81E20; Secondary 46L60, 81E05
MathSciNet review: 637032
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Abstract: On globally hyperbolic Lorentzian manifolds we construct field operators which satisfy the Dirac equation and have a causal anticommutator. Ambiguities in the construction are removed by formulating the theory in terms of $ {C^{\ast}}$ algebras of local observables. A generalized form of the Haag-Kastler axioms is verified.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0637032-8
PII: S 0002-9947(1982)0637032-8
Article copyright: © Copyright 1982 American Mathematical Society