Quantum field theory and a new universal high-energy scale View Full Text


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Article Info

DATE

1985-06

AUTHORS

V. G. Kadyshevsky, M. D. Mateev

ABSTRACT

The present paper is the first of a new series devoted to the problem of foundation, construction and physical interpretation of quantum field theory (QFT) in which the four-dimensional momentum space is a constant-curvature space with a sufficiently large radiusM. The parameterM is called thefundamental mass and its inversel=1/M thefundamental length. The fundamental mass fixes a new universal scale of the theory in the high-energy region. The standard QFT is recovered in the «flat limit»M→∞. It is exemplified by a scalar model that QFT with the fundamental mass is equivalent to a certain version of local QFT with a doubled number of field variables and boundm≤M on the mass of particles. A key part in the developed approach belongs to the five-dimensional configuration representation. It happens that the region of locality of the new scheme is naturally extended to a space of five dimensions. This fact will be of crucial importance in the formulation of gauge QFT with the fundamental mass. More... »

PAGES

324

References to SciGraph publications

  • 1973. Space and Time in the Microworld in NONE
  • 1983-04. On the functional formulation of quantum field theory in IL NUOVO CIMENTO A (1971-1996)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02902225

    DOI

    http://dx.doi.org/10.1007/bf02902225

    DIMENSIONS

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