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Quantization of the dirac fiber and its application to the theory of elementary particles

  • Physics of Elementary Particles and Field Theory
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Russian Physics Journal Aims and scope

Abstract

A problem of ultraviolet divergences in the quantum field theory is analyzed. It is pointed out that this problem is associated with the use of improper functions in space-time. It is shown that a radically new method of quantization of matter based on the dynamical structure of a new type is possible in the context of fiber spaces. The carrier of this structure is a completely disconnected space. A concrete model of a dynamical system of this type and its application to the theory of elementary particles are considered.

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Authors
  1. S. S. Sannikov-Proskuryakov
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Additional information

Khar'kov Physical-Technical Institute of the Academy of Sciences of Ukraine. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 52–61, November, 1999.

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Sannikov-Proskuryakov, S.S. Quantization of the dirac fiber and its application to the theory of elementary particles. Russ Phys J 42, 968–976 (1999). https://doi.org/10.1007/BF02509690

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  • DOI: https://doi.org/10.1007/BF02509690

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