Scalar and spinor effective actions in global de Sitter

A bstract In this paper, we compute the effective action of both a scalar field and a Dirac spinor field in the global de Sitter space of any dimension d using the in-/out-state formalism. We show that there is particle production in even dimensions for both scalar field and spinor field. The in-out...

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Veröffentlicht in:The journal of high energy physics 2020-06, Vol.2020 (6), p.1-25, Article 37
1. Verfasser: Jiang, Jiaqi
Format: Artikel
Sprache:eng
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Zusammenfassung:A bstract In this paper, we compute the effective action of both a scalar field and a Dirac spinor field in the global de Sitter space of any dimension d using the in-/out-state formalism. We show that there is particle production in even dimensions for both scalar field and spinor field. The in-out vacuum amplitude Z in / out is divergent at late times. By using dimensional regularization, we extract the finite part of log Z in / out for d even and the logarithmically divergent part of log Z in / out for d odd. We also find that the regularized in-out vacuum amplitude equals the ratio of determinants associated with different quantizations in AdS d upon the identification of certain parameters in the two theories.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2020)037