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The relationship of Weyl geometry to quantum electrodynamics

Связь геометрии Вейля с квантовой злектродинамикой

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Il Nuovo Cimento B (1971-1996)

Summary

We point out the close relationship between Weyl geometry and the manifestly gauge-independent but path-dependent formalism of quantum electrodynamics of Mandelstam. This comparison shows how the usual Weyl geometry and even the recent modifications of this geometry by Dirac cannot be correct.

Riassunto

Si fa rilevare la stretta relazione fra la geometria di Weyl ed il formalismo manifestatamente indipendente dal gauge ma dipendente dal percorso dell’elettrodinamica quantistica di Mandelstam. Questo confronto mostra come la solita geometria di Weyl e perfino le recenti modifiche di questa geometria da parte di Dirac non possano essere corrette.

Резюме

Мы отмечаем тесную связь между геометрией Вейля и формализмом квантовой электродинамики Манделстама, который не зависит от калибровки, но зависит от траектории. Указанное сравнение показывает, что обычная геометрия Вейля и даже недавние модификации этой геометрии Дираком не могут быть корректными.

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Authors and Affiliations

  1. Department of Physics, Iowa State University, 50011, Ames, Ia.

    D. K. Ross

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  1. D. K. Ross
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Ross, D.K. The relationship of Weyl geometry to quantum electrodynamics. Nuov Cim B 33, 449–453 (1976). https://doi.org/10.1007/BF02723878

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  • DOI: https://doi.org/10.1007/BF02723878

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