Abstract
In this tribute dedicated to Albert Crumeyrolle’s contributions to Clifford algebras and spinors, we wish to complete some work on the Dirac theory that we started earlier but never finished. This somewhat sober contribution requires close comparisons with related equations appearing in a previous work by the authors. The purpose is to interpret the quantum field operator Ψ(x) appearing in the Dirac theory as a tensor product valued function on spacetime which is invariant under inhomogeneous group actions.
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References
H. T. Cho, A. Diek, and R. Kantowski, “A Clifford Algebra Quantization of Dirac’s Electron Positron Field,” J. Math. Phys. 31, 2192–2200 (1990).
J.D. Bjorken and S.D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965).
C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
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© 1995 Springer Science+Business Media Dordrecht
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Cho, H.T., Diek, A., Kantowski, R. (1995). Dirac’s Field Operator Ψ. In: Ablamowicz, R., Lounesto, P. (eds) Clifford Algebras and Spinor Structures. Mathematics and Its Applications, vol 321. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8422-7_15
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DOI: https://doi.org/10.1007/978-94-015-8422-7_15
Publisher Name: Springer, Dordrecht
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