Geodesic
On new geometrical concept of local quantum field
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 170-179

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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. 
@article{TM_2011_272_a13,
     author = {V. G. Kadyshevsky},
     title = {On new geometrical concept of local quantum field},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {170--179},
     publisher = {mathdoc},
     volume = {272},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2011_272_a13/}
}
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V. G. Kadyshevsky. On new geometrical concept of local quantum field. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 170-179. http://geodesic.mathdoc.fr/item/TM_2011_272_a13/