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

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arxiv 2109.05625 v3 pith:BAPXUXUH submitted 2021-09-12 gr-qc hep-th

Alexander Yu. Kamenshchik , Alexei A. Starobinsky , Tereza Vardanyan This is my paper · ORCID
classification gr-qchep-th
keywords approachfieldslong-wavelengthmassivescalarsitterspacetimestochastic
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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 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum

    gr-qc 2026-01 conditional novelty 6.0 of 10

    The vacuum energy of quantum fields, computed exactly in de Sitter spacetime and then allowed to decay into radiation, can drive H^4-powered inflation and leave a slowly running dark energy δρ_vac ~ m_Pl^2 H^2, unifyi...

  2. From the Fokker-Planck equation to perturbative QFT's results in de Sitter space

    hep-th 2025-04 accept novelty 6.0 of 10

    An iterative Fokker-Planck scheme reproduces the known perturbative two- and four-point correlation functions of a self-interacting spectator scalar field in de Sitter space.

  3. Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy

    gr-qc 2026-06 unverdicted novelty 3.0 of 10

    The running vacuum model derives dynamical vacuum energy from QFT in curved spacetime, using H^4 terms for inflation and H^2 terms for dark energy while G evolves logarithmically.

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