Skip to main content
Log in

Generation of Electroweak Interaction by Analogs of Dirac Gamma Matrices Constructed from Operators of the Creation and Annihilation of Spinors

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

Analogs of Dirac matrices are constructed from the creation and annihilation operators of spinors. They generate a chiral-symmetric version of electroweak fields and other fields. It is shown that the operator considered in the theory of second quantization to be the one of electric charge is a part of the hypercharge operator of the Pati–Salam theory.

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. Monakhov, V.V., Theor. Math. Phys., 2016, vol. 186, p. 70.

    Article  Google Scholar 

  2. Monakhov, V.V., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, p. 985.

    Article  Google Scholar 

  3. Monakhov, V.V., J. Phys.: Conf. Ser., 2018, vol. 1051, 012023.

    Google Scholar 

  4. Monakhov, V.V., Theor. Math. Phys., 2019, vol. 200, p. 1026.

    Article  Google Scholar 

  5. Monakhov, V.V., Universe, 2019, vol. 5, no. 7, 162.

    Article  ADS  Google Scholar 

  6. Lounesto, P., Clifford Algebras and Spinors, Cambridge: Cambridge Univ. Press, 2001.

    Book  Google Scholar 

  7. Figueiredo, V.L., de Oliveira, E.C., and Rodrigues, W.A., Jr., Int. J. Theor. Phys., 1990, vol. 29, p. 371.

    Article  Google Scholar 

  8. Monakhov, V.V., Phys. Part. Nucl., 2017, vol. 48, p. 836.

    Article  Google Scholar 

  9. Bjorken, J.D. and Drell, S.D., Relativistic Quantum Fields, New York: McGraw-Hill, 1965.

    MATH  Google Scholar 

  10. Cheng, T.P. and Li, L.F., Gauge Theory of Elementary Particle Physics, Oxford: Oxford Univ. Press, 1988.

    Google Scholar 

  11. Shirokov, D.S., in Proc. 19th Geom.Int. Quant., Varna, 2018, p. 11.

    Google Scholar 

  12. Pati, J.C. and Salam, A., Phys. Rev. D: Part. Fields, 1974, vol. 10, p. 275.

    Article  ADS  Google Scholar 

  13. Pati, J.C., Int. J. Mod. Phys. A, 2017, vol. 32, p. 31.

    Article  Google Scholar 

  14. Peskin, M.E. and Shreder, D.V., An Introduction to Quantum Field Theory, New York: Addison-Wesley, 1995.

    Google Scholar 

  15. Ryder, L.H., Quantum Field Theory, Cambridge: Cambridge Univ. Press, 1985.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Monakhov.

Additional information

Translated by I. Obrezanova

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Monakhov, V.V. Generation of Electroweak Interaction by Analogs of Dirac Gamma Matrices Constructed from Operators of the Creation and Annihilation of Spinors. Bull. Russ. Acad. Sci. Phys. 84, 1216–1220 (2020). https://doi.org/10.3103/S1062873820100172

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873820100172

Navigation