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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 272, Pages 170–179
(Mi tm3259)
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On new geometrical concept of local quantum field
V. G. Kadyshevsky Joint Institute for Nuclear Research, Dubna, Moscow oblast, Russia
Abstract:
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⩾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
Citation:
V. G. Kadyshevsky, “On new geometrical concept of local quantum field”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 170–179; Proc. Steklov Inst. Math., 272 (2011), 159–168
Linking options:
https://www.mathnet.ru/eng/tm3259 https://www.mathnet.ru/eng/tm/v272/p170
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Abstract page: | 241 | Full-text PDF : | 49 | References: | 72 |
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