Dirac quantum fields on a manifold

Dimock, J.

doi:10.1090/S0002-9947-1982-0637032-8

Dirac quantum fields on a manifold

Author: J. Dimock
Journal: Trans. Amer. Math. Soc. 269 (1982), 133-147
MSC: Primary 81E20; Secondary 46L60, 81E05
DOI: https://doi.org/10.1090/S0002-9947-1982-0637032-8
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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