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Hypothesis of the fundamental length and quantum electrodynamics

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Abstract

Under the hypothesis of a fundamental lengthl 0, the Bopp equation is considered as a basic equation of motion instead of the Klein-Gordon equation. Assuming that the mass is a function of0, we derive a mass relationm≥(ħ/2l 0 c). The propagators obtained in the framework of the present theory have the same types as those with a simple cutoff. However, because of the mass relation, the tildon field with indefinite metric is always confined in the virtual state and never appears in real processes as a physical entity. Thus, our new version leads to a finite theory of quantum electrodynamics.

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Cheon, I. Hypothesis of the fundamental length and quantum electrodynamics. Int J Theor Phys 17, 611–629 (1978). https://doi.org/10.1007/BF00673012

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Basic Equation
  • Mass Relation