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Conformal covariant Wightman functions

Конформные ковариантные функции Вайтмана.

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

Summary

In this paper a method to build covariant Wightman functions is given. Complications due to the breaking of causality are discussed. After giving a convenient definition of co-ordinate inversion to avoid the appearance of antilinear transformations, the representations of the inversion operator for various fields are given. Finally simple rules are given to build conformal covariant Wightman functions.

Riassunto

Si dà un metodo per costruire funzioni di Wightman covarianti per trasformazioni conformi. Si discutono complicazioni dovute alla rottura delle relazioni di causalità. Dopo aver dato una conveniente definizione di inversione allo scopo di evitare l'uso di trasformazioni antilineari, si trovano le rappresentazioni dell'operatore di inversione per vari campi. Infine si danno semplici regole per costruire funzioni di Wightman covarianti per trasformazioni conformi.

Резюме

В этой работе предлагается метод конструирования ковариантных функций Вайтмана. Обсуждаются усложнения, обусловленные нарушением причинности. После соответствующето определения инверсии координат, которое позволяет избежать появления антилинейных преобразований, получены представления оператора инверсии для различных полей. В заключение приводятся простые правила для построения конформных ковариантных функций Вайтмана.

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References

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, Padova

    R. Nobili

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  1. R. Nobili
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Nobili, R. Conformal covariant Wightman functions. Nuov Cim A 13, 129–143 (1973). https://doi.org/10.1007/BF02788911

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  • DOI: https://doi.org/10.1007/BF02788911

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