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About the Quantum Fields Theory

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Quantum Mechanics in the Geometry of Space-Time

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Abstract

In QFT the potentials are put in a complex form with the association \(\hbar \,i \hbox{ of } \hbar\) with the number \(i=\sqrt{-1}\) by analogy with the presence of \(\hbar i\) in the Dirac equation. But in this equation i has in fact the meaning of a real bivector of space-time which has no place in an electromagnetic potential. The results are the same as a real quantum electrodynamics because, in the calculations, the imaginary parts of these potentials are null. But when the potential is in the form q/R, the QFT construction leads to the presence of an unacceptable nonsense.

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Correspondence to Roger Boudet .

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© 2011 Springer-Verlag Berlin Heidelberg

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Boudet, R. (2011). About the Quantum Fields Theory. In: Quantum Mechanics in the Geometry of Space-Time. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19199-2_19

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  • DOI: https://doi.org/10.1007/978-3-642-19199-2_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19198-5

  • Online ISBN: 978-3-642-19199-2

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