The fundamental equation of the field theory in De Sitter pulse space

Abstract

The fundamental equation of the field theory in De Sitter pulse 5-dimensional space is obtained. The
wave function, subordinated to this equation in usual space-time, doubles. One of these functions,
probably to consider as the candidate on “the Phantom field” responsible for expansion of the Universe
with acceleration.  Some experimental consequences are predicted. In all these calculations the
polarization of particles be taken into account. The Lagrangian of quantum electrodynamics with the
fundamental mass is chosen as an effective interaction Lagrangian. All the calculations are made in the
Euclidian space, the transfer to the ordinary pseudoeuclidian space is established in the final expressions
only. The approach has been based on the assumption that the momentum space possesses the geometric
structure of a de Sitters pace of constant curvature. A key role has been be assigned to this constant radius
of curvature.