We examine long-wavelength correlation functions of massive scalar fields in de Sitter spacetime. For the theory with a quartic self-interaction, the two-point function is calculated up to two loops. Comparing our results with the Hartree-Fock approximation and with the stochastic approach shows that the former resums only the cactus type diagrams, whereas the latter contains the sunset diagram as well and produces the correct result. We compare our results with the preceding results obtained for the massless scalar field.

Kamenshchik, A.Y., Starobinsky, A.A., Vardanyan, T. (2023). Scalar fields in the de Sitter spacetime. JOURNAL OF PHYSICS. CONFERENCE SERIES, 2531(1), 1-12 [10.1088/1742-6596/2531/1/012007].

Scalar fields in the de Sitter spacetime

Kamenshchik, AY
;
Vardanyan, T
2023

Abstract

We examine long-wavelength correlation functions of massive scalar fields in de Sitter spacetime. For the theory with a quartic self-interaction, the two-point function is calculated up to two loops. Comparing our results with the Hartree-Fock approximation and with the stochastic approach shows that the former resums only the cactus type diagrams, whereas the latter contains the sunset diagram as well and produces the correct result. We compare our results with the preceding results obtained for the massless scalar field.
2023
Kamenshchik, A.Y., Starobinsky, A.A., Vardanyan, T. (2023). Scalar fields in the de Sitter spacetime. JOURNAL OF PHYSICS. CONFERENCE SERIES, 2531(1), 1-12 [10.1088/1742-6596/2531/1/012007].
Kamenshchik, AY; Starobinsky, AA; Vardanyan, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/938358
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