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On the Gauge theory in the Einstein-Cartan-Weyl space-time

О калибровочной теории в пространстве-времени Эйнштейна-Картана-Вейля

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Il Nuovo Cimento B (1971-1996)

Summary

The field equations and the conservation laws in the Einstein-Cartan-Weyl space-time are obtained by postulating the invariance of a Lagrangian both under local Poincaré and local scale transformations. The results are rewritten in terms of field variables with gauge weight 0, and are compared with Kibble’s ones.

Riassunto

Si sono trovate le equazioni del campo e le leggi di conservazione nello spazio-tempo di Einstein-Cartan-Weyl postulando l’invarianza di un lagrangiano sia rispetto alle trasformazioni locali di Poincaré che rispetto alle trasformazioni di scala locali. Questi risultati sono stati riscritti per mezzo delle variabili del campo con peso di «gauge» 0, e sono paragonati con quelli di Kibble.

Резюме

Постулируя инвариантность Лагранжиана относительно локального преобразования Пуанкаре и локального преобразования масштаба, выводятся уравнения поля и законы сохранения в пространстве-времени Эйнштейна-Картана-Вейля. Полученные результаты записываются, как функции переменных поля с калибровочным весом 0. Результаты этой работы сравниваются с результатами Киббла.

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References

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Authors and Affiliations

  1. Science and Engineering Research Laboratory, Waseda University, Tokyo

    M. Kasuya

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  1. M. Kasuya
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Traduzione a cura della Redazione.

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Kasuya, M. On the Gauge theory in the Einstein-Cartan-Weyl space-time. Nuov Cim B 28, 127–137 (1975). https://doi.org/10.1007/BF02722810

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  • DOI: https://doi.org/10.1007/BF02722810

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