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A Superalgebraic Form of the Dirac Equation

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

Abstract

A spinor theory with automatic second quantization and no need for normalizing operators is constructed, based on a superalgebraic representation of spinors and Dirac matrices. The creation and annihilation operators of spinors are constructed using integrals of Grassmann variable densities in the momentum space and derivatives with respect to them. Formulas for superalgebraic bilinear covariants, and fermionic Lagrangian, and Noether currents are derived.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    V. V. Monakhov

Authors
  1. V. V. Monakhov
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Correspondence to V. V. Monakhov.

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Translated by L. Trubitsyna

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Cite this article

Monakhov, V.V. A Superalgebraic Form of the Dirac Equation. Bull. Russ. Acad. Sci. Phys. 83, 1173–1178 (2019). https://doi.org/10.3103/S106287381909017X

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  • DOI: https://doi.org/10.3103/S106287381909017X

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