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Correlators from Amplitubes

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arxiv 2507.07199 v2 pith:VGLWZ55W submitted 2025-07-09 hep-th gr-qc

Correlators from Amplitubes

classification hep-th gr-qc
keywords wavefunctioncorrelationamplitubescoefficientsexpansionfunctionfunctionsterms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recently, the wavefunction coefficients for conformally coupled scalars in an FRW cosmology have been presented as a sum over amplitude-like functions known as {\it amplitubes}. In this work we extend this analysis to full {\it correlation functions}. Remarkably, the amplitube expansion of the correlator exhibits many vanishing contributions that are otherwise present in the expansion of the wavefunction. Moreover, while the wavefunction coefficients suffer from relative minus signs between terms, the surviving terms in correlation function do not. These observations point to a hidden simplicity in the structure of the correlation function compared to that of the wavefunction coefficient.

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Cited by 4 Pith papers

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

  1. A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology

    hep-th 2026-06 unverdicted novelty 7.0

    Constructs a graphical coaction for all-loop FRW integrals in conformally-coupled scalar theories via twisted (co)homology, with combinatorial description of kinematic flow and a public web app for computation.

  2. On the simplicity of de Sitter correlators

    hep-th 2026-04 unverdicted novelty 7.0

    De Sitter correlators in conformally coupled φ³ theory admit a time-integral representation built from flat-space correlators, revealing intrinsic simplifications including vanishing of odd conjugate-momentum graphs a...

  3. Differential Equations for Massive Correlators

    hep-th 2026-04 unverdicted novelty 7.0

    A graph-tubing combinatorial framework governs the first-order differential equations obeyed by master integrals for massive cosmological correlators in de Sitter space.

  4. A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction

    hep-th 2026-05 unverdicted novelty 5.0

    The all-loop two-site cosmological wavefunction coefficient admits an equivalent maximal-chain expansion on the Boolean lattice that unifies the shifted-tree decomposition and the tubing construction via finite-differ...