Geodesic
On new geometrical concept of local quantum field
Informatics and Automation, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 170-179.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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V. G. Kadyshevsky. On new geometrical concept of local quantum field. Informatics and Automation, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 170-179. http://geodesic.mathdoc.fr/item/TRSPY_2011_272_a13/

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