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 TMF, 2005, Volume 142, Number 1, Pages 21–36 (Mi tmf1766)

Mass spectra in the doubly symmetric theory of infinite-component fields

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We consider the problem of the characteristics of mass spectra in the doubly symmetric theory of fields transforming under the proper Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible representations. We show that there exists a range of free parameters of the theory where the mass spectra of fermions are quite satisfactory from the physical standpoint and correspond to the picture expected in the parton model of hadrons.

Keywords: relativistically invariant theories, infinite-component fields, double symmetries, mass spectra

DOI: https://doi.org/10.4213/tmf1766

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English version:
Theoretical and Mathematical Physics, 2005, 142:1, 15–28

Bibliographic databases:

Citation: L. M. Slad, “Mass spectra in the doubly symmetric theory of infinite-component fields”, TMF, 142:1 (2005), 21–36; Theoret. and Math. Phys., 142:1 (2005), 15–28

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tmf1766
• https://doi.org/10.4213/tmf1766
• http://mi.mathnet.ru/eng/tmf/v142/i1/p21

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

This publication is cited in the following articles:
1. Leonid M. Slad, “Electroweak Interaction Model with an Undegenerate Double Symmetry”, SIGMA, 2 (2006), 045, 8 pp.
2. L. M. Slad, “Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2”, Theoret. and Math. Phys., 158:1 (2009), 112–124
3. L. M. Slad, “Electromagnetic properties of non-Dirac particles with rest spin $1/2$”, Theoret. and Math. Phys., 165:1 (2010), 1275–1292
4. Slad L.M., “Magnetic Moment Operator of Non-Dirac Particles and Some Elements of Polarization Ep-Experiments”, Mod. Phys. Lett. A, 28:12 (2013), 1350051
5. Slad L.M., “Some Field-Theoretical Aspects of Two Types of the Poincaré Group Representations”, Int. J. Mod. Phys. A, 29:2 (2014), 1450020
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