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Green's functions of scalar field in de Sitter space: Discrete lattice formalism.—I

Функции Грина для скалярного поля в пространстве де Ситтера: Формализм дискретной решетки

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Il Nuovo Cimento A (1965-1970)

Summary

We derive, in discrete lattice formalism, the Green's function of free scalar field in (1+D)-dimensional de Sitter space. ForD=1 andD=3 cases our results agree with previous work of Bunch and Davies by conventional field-theoretical approach. We describe how our treatment may be extended to deal with systems with self-interaction and internal symmetry.

Riassunto

Si deduce, in un formalismo reticolare discreto, la funzione di Green di un campo scalare libero nello spazio di de Sitter (1+D) dimensionale. Per i casiD=1 eD=3 i nostri risultati si accordano con il lavoro precedente di Bach e Davies mediante l'approccio convenzionale teorico dei campi. Si descrive come la nostra trattazione può essere estesa a sistemi con auto-interazione e simmetria interna.

Резюме

В рамках формализма дискретной решетки мы выводим функцию Грина для свободного скалярного поля в (1+D)-мерном пространстве де Ситтера. Для случаевD=1 иD=3 наши результаты согласуются с предыдущей работой Бунга и Девиса. Мы описываем, как наш подход может быть обобщен на случай систем с собственным взаимодействием и внутренней симметрией.

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References

  1. A. Vilenkin andL. H. Ford:Phys. Rev. D,26, 1231 (1982).

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  2. T. S. Bunch andP. C. W. Davies:Proc. R. Soc. London, Ser. A,360, 117 (1978).

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Huang, JJ., Wang, MJ. Green's functions of scalar field in de Sitter space: Discrete lattice formalism.—I. Nuov Cim A 100, 723–734 (1988). https://doi.org/10.1007/BF02813320

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  • DOI: https://doi.org/10.1007/BF02813320

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