On new geometrical concept of local quantum field

The key idea discussed in the paper is the hypothesis that the mass spectrum of elementary particles described by local quantum fields should be cut at some mass value $M$. The new universal parameter $M$ called the “fundamental mass” is introduced in quantum field theory (QFT) in a pure geometric way; namely, in the framework of the Euclidean formulation of QFT we postulate that the 4-momentum space is the de Sitter space with radius $M$. It is of principal importance that the new version of QFT containing the fundamental mass $M$ admits a local gauge invariant Lagrangian formulation and may serve as a basis for generalizing the Standard Model (SM) at high energies $E\ge M$. Some correction terms to the SM Lagrangian, which may be compared in the future with LHC experimental data, are given.

Received in September 2010