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”, TMF, 40:3 (1979), 363–372; Theoret. and Math. Phys., 40:3 (1979), 800

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 40, Number 3, Pages 363–372 (Mi tmf2920)

This article is cited in 17 scientific papers (total in 17 papers)

Equations of motion for scalar and spinor fields in a four-dimensional non-euclidean momentum space

I. P. Volobuev, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kassimov

Full-text PDF (1306 kB) Citations (17)

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Abstract: 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.

Received: 08.08.1977

English version:
Theoretical and Mathematical Physics, 1979, Volume 40, Issue 3, Pages 800–807
DOI: https://doi.org/10.1007/BF01032066

Bibliographic databases:

Language: Russian

Citation: 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”, TMF, 40:3 (1979), 363–372; Theoret. and Math. Phys., 40:3 (1979), 800–807

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf2920

https://www.mathnet.ru/eng/tmf/v40/i3/p363

This publication is cited in the following 17 articles:

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Michele Arzano, Jerzy Kowalski-Glikman, Lecture Notes in Physics, 986, Deformations of Spacetime Symmetries, 2021, 3
Nikodem Popławski, “Noncommutative Momentum and Torsional Regularization”, Found Phys, 50:9 (2020), 900
V. N. Rodionov, A. M. Mandel, G. A. Kravtsova, “Restriction of the fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter”, Theoret. and Math. Phys., 198:3 (2019), 412–424
Rodionov V.N. Kravtsova G.A., “An algebraic PT-symmetric quantum theory with a maximal mass”, Phys. Part. Nuclei, 47:2 (2016), 135–156
Vasilij R.N. Galina K.A., “Non-Hermitian Quantum Theory With Maximal Mass”, 19Th International Seminar on High Energy Physics (Quarks-2016), Epj Web of Conferences, 125, ed. Andrianov V. Matveev V. Rubakov V. Kim V. Andrianov A. Fitkevich M., E D P Sciences, 2016, UNSP 05012
V. N. Rodionov, G. A. Kravtsova, “Developing a non-Hermitian algebraic theory with the $\gamma_5$-extension of mass”, Theoret. and Math. Phys., 182:1 (2015), 100–113
V. Ch. Zhukovskii, E. A. Stepanov, “Fermion mass generation and induced current in low-dimensional models with nontrivial topology”, Theoret. and Math. Phys., 182:2 (2015), 246–263
Jerzy Kowalski-Glikman, Proceedings of CST-MISC Joint Symposium on Particle Physics — from Spacetime Dynamics to Phenomenology —, 2015
V. N. Rodionov, G. A. Kravtsova, “The algebraic and geometric approaches to PJ-symmetric non-Hermitian relativistic quantum mechanics with maximal mass”, Moscow Univ. Phys., 69:3 (2014), 223
Zhukovsky V.Ch., Stepanov E.A., “Fermion MASS Generation via Kaluza-Klein Fermions Under the Influence of a Gauge Field Within a (2+1)-Dimensional Model”, Mosc. Univ. Phys. Bull., 67:2 (2012), 233–240
Zhukovskii V.Ch., Stepanov E.A., “Generatsii fermionnoi massy s uchastiem fermionov kalutsy-kleina pod vliyaniem kalibrovochnogo polya v modeli s 2+1 izmereniem”, Vestnik Moskovskogo universiteta. Seriya 3: Fizika. Astronomiya, 2012, no. 1, 58–64 Fermion mass generation with kaluza-klein fermions and under the influence of gauge field in the 2+1 dimensional model
Giovanni Amelino-Camelia, Laurent Freidel, Jerzy Kowalski-Glikman, Lee Smolin, “Principle of relative locality”, Phys. Rev. D, 84:8 (2011)
A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, “Non-Euclidean momentum space and the two-body problem”, Theoret. and Math. Phys., 50:3 (1982), 236–243
S. A. Gadzhiev, V. A. Petrosyan, “A quantum field theory in momentum space of constant curvature”, Soviet Physics Journal, 24:9 (1981), 796

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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