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 theHartree–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 also demonstrate that the long-wavelength expectation value of the commutator of two fields is equal to zero both for spacelike and timelike separated points.

Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach / A.Y. Kamenchtchik, A.A. Starobinsky, T. Vardanyan. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - STAMPA. - 82:4(2022), pp. 345.1-345.19. [10.1140/epjc/s10052-022-10295-z]

Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach

A. Y. Kamenchtchik;T. Vardanyan
2022

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 theHartree–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 also demonstrate that the long-wavelength expectation value of the commutator of two fields is equal to zero both for spacelike and timelike separated points.
2022
Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach / A.Y. Kamenchtchik, A.A. Starobinsky, T. Vardanyan. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - STAMPA. - 82:4(2022), pp. 345.1-345.19. [10.1140/epjc/s10052-022-10295-z]
A.Y. Kamenchtchik, A.A. Starobinsky, T. Vardanyan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/882780
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