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Generalizations of the Dirac equation

Обобшения уравнения Дирака

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

Finite- and infinite-dimensional generalizations of the Dirac equation are developed from a group-theoretical point of view. The kinematic form factors for the simplest infinite-component spin-1/2 vector and axial vector currents are calculated. Second-class currents, which are proportional to symmetry breaking, automatically appear in these infinite-component currents.

Riassunto

Si sviluppano generalizzazioni a dimensioni finite od infinite dell’equazione di Dirac dal punto di vista della teoria dei gruppi. Si calcolano i fattori di forma cinematici per le più semplici correnti vettoriali e vettoriali assiali di spin 1/2 ad infinite componenti. Correnti di seconda classe, che sono proporzionali alla rottura della simmetria, appaiono automaticamente in queste correnti ad infinite componenti.

Реэюме

Испольэуя теорию групп, раэвиваются конечномерные и бесконеч-номерные обобшения уравнения Дирака. Вычисляются кинематические форм-факторы для простейщих со спином векторных и аксиальных векторных токов с бесконечным числом компонент. Токи второго класса, которые пропорциональны нарущению симметрии, автоматически воэникают в зтих токах с бесконечным числом компонент.

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References

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Author information

Authors and Affiliations

  1. Center for Particle Theory, The University of Texas, Austin, Tex.

    A. Böhm

  2. School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin

    G. B. Mainland

Authors
  1. A. Böhm
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  2. G. B. Mainland
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Additional information

Research supported in part by the U.S. Atomic Energy Commission.

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Böhm, A., Mainland, G.B. Generalizations of the Dirac equation. Nuov Cim A 18, 308–326 (1973). https://doi.org/10.1007/BF02722830

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  • DOI: https://doi.org/10.1007/BF02722830

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