Skip to main content
Log in

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

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. L. M. Slad, Theor. Math. Phys., 129, 1369 (2001).

    Google Scholar 

  2. L. M. Slad, Theor. Math. Phys., 133, 1363 (2002).

    Google Scholar 

  3. I. M. Gel’fand and A. M. Yaglom, Zh. Eksp. Teor. Fiz., 18, 703 (1948).

    Google Scholar 

  4. I. M. Gel’fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and the Lorentz Groups and Their Applications[in Russian], Fizmatgiz, Moscow (1958); English transl., Pergamon, Oxford (1963).

  5. L. M. Slad, Modern Phys. Lett. A, 15, 379 (2000).

    Google Scholar 

  6. M. Gell-Mann and M. Levy, Nuovo Cimento, 16, 705 (1960).

    Google Scholar 

  7. S. Coleman and J. Mandula, Phys. Rev., 159, 1251 (1967).

    Google Scholar 

  8. Y. Nambu, Progr. Theoret. Phys.(Suppl.), 37–38, 368 (1966); A. O. Barut and H. Kleinert, Phys. Rev., 157, 1180 (1967); C. Fronsdal, Phys. Rev., 171, 1811 (1968); G. Bisiacchi, P. Budini, and G. Calucci, Phys. Rev., 172, 1508 (1968); N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, and I. T. Todorov, General Principles of Quantum Field Theory[in Russian], Nauka, Moscow (1987); English transl., Kluwer, Dordrecht (1990).

    Google Scholar 

  9. V. L. Ginzburg and I. E. Tamm, Zh. Eksp. Teor. Fiz., 17, 227 (1947).

    Google Scholar 

  10. H. Yukawa, Phys. Rev., 77, 219 (1950).

    Google Scholar 

  11. Yu. M. Shirokov, Zh. Eksp. Teor. Fiz., 21, 748 (1951).

    Google Scholar 

  12. M. A. Markov, Dokl. Akad. Nauk SSSR, 101, 51 (1955).

    Google Scholar 

  13. A. A. Komar and L. M. Slad, Teor. Mat. Fiz., 1, 50 (1969).

    Google Scholar 

  14. S. Str¨om, Arkiv Fysik, 29, 467 (1965).

    Google Scholar 

  15. K. Hagiwara et al. (Particle Data Group), Phys. Rev. D, 66, 010001 (2002).

    Article  Google Scholar 

  16. R. E. Cutkosky and S. Wang, Phys. Rev. D, 42, 235 (1990).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 21–36, January, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Slad, L.M. Mass spectra in the doubly symmetric theory of infinite-component fields. Theor Math Phys 142, 15–28 (2005). https://doi.org/10.1007/s11232-005-0050-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-005-0050-9

Keywords

Navigation