Equations of motion for scalar and spinor fields in a four-dimensional non-euclidean momentum space
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 363-372 Cet article a éte moissonné depuis la source Math-Net.Ru

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Equations of motion are obtained for a scalar and a spinor field in a four-dimensional non-Euclidean momentum space. They contain as a parameter a fundamental length $l$ and go over into the ordinary Klein–Gordon and Dirac equations in the limit $l\to0$. In the new formalism, an important part is played by the concept of a “vacuum momentum”, which is due to I. E. Tamm. The obtained equations remain invariant under spatial reflection only when the vacuum momentum is simultaneously transformed.
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I. P. Volobuev; V. G. Kadyshevskii; M. D. Mateev; R. M. Mir-Kassimov. Equations of motion for scalar and spinor fields in a four-dimensional non-euclidean momentum space. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 363-372. http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a5/

[1] V. G. Kadyshevskii, Preprint OIYaI R2-5717, Dubna, 1971

[2] V. G. Kadyshevskii, Problemy teoreticheskoi fiziki, Sb., posvyaschennyi pamyati I. E. Tamma, «Nauka», 1972 | MR

[3] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, Bolg. fiz. zh., 1, 58 ; 150 ; (1974), 233 ; 2 (1975), 3 ; Тр. МИ АН СССР, CXXXVI (1975), 85 | MR | MR | MR | MR | MR

[4] A. D. Donkov, V. G. Kadyshevsky, M. D. Mateev, R. M. Mir-Kasimov, Proceedings of the XVII International Conference on High Energy Physics, London, 1974, 1–267 | MR

[5] A. D. Donkov, V. G. Kadyshevsky, M. D. Mateev, R. M. Mir-Kasimov, Proceedings of the XVIII International Conference on High Energy Physics, Tbilisi, D1,2-10400, Dubna, 1977, pp. A5-1 | MR

[6] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, Nelokalnye, nelineinye, nerenormiruemye teorii polya, D2-9788, Dubna, 1976

[7] Feliks Klein, Neevklidova geometriya, ONTI, 1936

[8] V. G. Kadyshevskii, ZhETF, 41 (1961), 1885

[9] I. P. Volobuev, R. M. Mir-Kasimov, Preprint OIYaI R2-10676, Dubna, 1977 | MR | Zbl

[10] V. G. Kadyshevskii, Nelokalnye, nelineinye, nerenormiruemye teorii polya, D2-7161, Dubna, 1973