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Lecture notes on interacting quantum fields in de Sitter space

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arxiv 1309.2557 v5 pith:CYMGWIDL submitted 2013-09-10 hep-th

classification hep-th
keywords sitterspacequantumfieldsinfraredfieldmassiveunder
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-de-Sitter space: in de Sitter space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the quantum field theory under the de Sitter isometry and the (in)stability of de Sitter invariant states (and of dS space itself) under nonsymmetric perturbations.

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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. On Cosmological Correlators at One Loop

    hep-th 2026-01 conditional novelty 8.0 of 10

    The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...

  2. Confronting infrared divergences in de Sitter: loops, logarithms and the stochastic formalism

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors show that loop corrections do not alter tree-level time dependence in de Sitter correlators, so secular growth is a regularization artifact, not a physical effect.

  3. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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