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A de Sitter $S$-matrix for the masses

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arxiv 2309.07092 v1 pith:ST7CMTQL submitted 2023-09-13 hep-th gr-qc

Scott Melville , Guilherme L. Pimentel This is my paper · ORCID
classification hep-thgr-qc
keywords matrixfieldssitteractionboundaryco-ordinatescoefficientscomplementary
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We define an $S$-matrix for massive scalar fields on a fixed de Sitter spacetime, in the expanding patch co-ordinates relevant for early Universe cosmology. It enjoys many of the same properties as its Minkowski counterpart, for instance: it is insensitive to total derivatives and field redefinitions in the action; it can be extracted as a particular "on-shell" limit of time-ordered correlation functions; and for low-point scattering, kinematics strongly constrains its possible structures. We present explicit formulae relating the usual observables - in-in equal-time correlators and wavefunction coefficients at the conformal boundary - to $S$-matrix elements. Finally, we discuss some of the subtleties in extending this $S$-matrix to light fields (in the complementary series).

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Cited by 5 Pith papers

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

  1. All Tree-Level Massive Cosmological Correlators via Spectral Gluing

    hep-th 2026-07 conditional novelty 7.0 of 10

    Tree-level massive de Sitter correlators are constructed by gluing Lauricella-type vertex functions according to graph combinatorics, and the hypergeometric content collapses to rational functions once the dynamical p...

  2. Propagator positivity bounds for cosmological correlators

    hep-th 2025-12 conditional novelty 7.0 of 10

    An infinite tower of two-sided positivity bounds constrains the EFT coefficients of heavy fields on de Sitter, ruling out correlators with no unitary/causal UV completion.

  3. Unitarity, Recursion and Soft Limits in (EA)dS through Dressing

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Structural properties of (E)AdS cosmological correlators—cutting rules, tree theorems, BCFW recursion, and soft limits—are obtained by dressing flat-space amplitudes with auxiliary propagators.

  4. Cosmological cutting rules for Bogoliubov initial states: any mass and spin

    hep-th 2025-02 conditional novelty 6.0 of 10

    The paper derives modified propagator identities and discontinuity operations that generalize Bogoliubov-state cosmological cutting rules to fields of arbitrary mass and spin.

  5. EFT Perspective On de-Sitter S-Matrix

    hep-th 2026-01 conditional novelty 3.0 of 10

    In a carefully chosen limit, the de Sitter scattering amplitude is written as an integral transform of the flat-space amplitude, and requiring energy conservation on exceptional de Sitter scalars reproduces DBI and Sp...

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