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Conformally invariant Green functions of scalar and tensor fields and conserved current

Конформно-инвариантные функции грина скаляра, тензора и сохраняющегося тока

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Il Nuovo Cimento A (1965-1970)

Summary

An expression for conformally invariant vertices including the conserved current, the scalar field and the tensor field of arbitrary rank is obtained. Ward identities for these vertices are shown to contain Schwinger terms. The explicit form of Schwinger terms is found. The dynamical nature of these vertices is discussed.

Riassunto

Si ottiene l’espressione per i vertici conformemente invarianti comprendenti la corrente conservante, il campo scalare ed il campo tensoriale di rango arbitrario. Si mostra che le identità di Ward di questi vertici contengono termini di Schwinger. Si trova la forma esplicita dei termini di Schwinger. Si discute la natura dinamica di questi vertici.

Резюме

Получено конформно-инвариантное выражение для вершин, включающих сохраняющийся ток, скалярное поле и тензорное поле произвольного ранга. Показано, что тождества Уорда для таких вершин содержат швингеровские члены. Найдена явная форма швингеровских членов. Обсуждается динамическая природа таких вершин.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute of the USSR Academy of Sciences, Moscow

    E. S. Fradkin

  2. Institute of Automation and Electrometry of the USSR Academy of Sciences, Novosibirsk

    M. Ya. Palchik

Authors
  1. E. S. Fradkin
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  2. M. Ya. Palchik
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Traduzione a cura della Redacione.

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Fradkin, E.S., Palchik, M.Y. Conformally invariant Green functions of scalar and tensor fields and conserved current. Nuov Cim A 34, 438–444 (1976). https://doi.org/10.1007/BF02783620

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  • DOI: https://doi.org/10.1007/BF02783620

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