Quantum field theory and a new universal high-energy scale

On the geometric approach to the formulation of the standard model

“…However, it is much less obvious that in the momentum 4-space (5) one may fully develop the apparatus of quantum field theory, which after transition to configuration representation (with the help of a specific 5-dimensional Fourier transform) looks like a local field theoretical formalism in the four dimensional x-space [1]- [5]. It is fundamentally important that the new theory may be formulated in a gauge invariant way [1,2,4]). In other words, in the considered geometric approach there are conditions to construct an adequate generalization of the Standard Model, which gives one more illustration of the profundity of the Einstein idea (1).…”

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

“…are the fields defined in the four-dimensional space-time. Their number depends on the order of the differential equation (8) with respect to the variable � � . If the Cauchy problem (8-10) is correct, the f.e.…”

“…If the theory is formulated in pulse representation fields, sources, Green's functions and other attributes of the theory appear certain in fourdimensional (pseudo) Euclidean p-space. This modified quantum field theory has an elegant geometrical basis: in momentum representation one faces a momentum space corresponding to de Sitter space of curvature radius [1,2,7,8]. The approach developed earlier has been based on the assumption that the momentum space possesses the geometric structure of a de Sitters pace of constant curvature.…”

Electron Self-Energy in Pseudo-Hermitian Quantum Electrodynamics With a Maximal Mass M

“…x -coordinate [5], [8], it can be further set to zero ( ) 5 0 x = . We also take into account that 2 2 5…”

“…In theory under consideration an action does not depend on coordinate 5 x [5], [8]. In addition, the kind of interaction Lagrangian in pseudo-Hermitian electrodynamics with mass M coincides with standard one [15] ( ) ( ) ( )…”