Hidden zeros of the cosmological wavefunction

Abstract Motivated by the recent discovery of hidden zeros in particle and string amplitudes, we characterize zeros of individual graph contributions to the cosmological wavefunction of a scalar field theory. We demonstrate that these contributions factorize near these zeros for all tree graphs and...

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Main Authors: Shounak De, Shruti Paranjape, Andrzej Pokraka, Marcus Spradlin, Anastasia Volovich
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)174
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author Shounak De
Shruti Paranjape
Andrzej Pokraka
Marcus Spradlin
Anastasia Volovich
author_facet Shounak De
Shruti Paranjape
Andrzej Pokraka
Marcus Spradlin
Anastasia Volovich
author_sort Shounak De
collection DOAJ
description Abstract Motivated by the recent discovery of hidden zeros in particle and string amplitudes, we characterize zeros of individual graph contributions to the cosmological wavefunction of a scalar field theory. We demonstrate that these contributions factorize near these zeros for all tree graphs and provide evidence that this extends to loop graphs as well. We explicitly construct polytopal realizations of the relevant graph associahedra and show that the cosmological zeros have natural geometric and physical interpretations. As a byproduct, we establish an equivalence between the wavefunction coefficients of chain graphs and flat-space Tr(ϕ 3) amplitudes, enabling us to leverage the cosmological zeros to uncover the recently discovered hidden zeros of colored amplitudes.
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institution Kabale University
issn 1029-8479
language English
publishDate 2025-07-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-8bc07e602a40436d99c59a8b050413be2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713110.1007/JHEP07(2025)174Hidden zeros of the cosmological wavefunctionShounak De0Shruti Paranjape1Andrzej Pokraka2Marcus Spradlin3Anastasia Volovich4Department of Physics, Brown UniversityDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract Motivated by the recent discovery of hidden zeros in particle and string amplitudes, we characterize zeros of individual graph contributions to the cosmological wavefunction of a scalar field theory. We demonstrate that these contributions factorize near these zeros for all tree graphs and provide evidence that this extends to loop graphs as well. We explicitly construct polytopal realizations of the relevant graph associahedra and show that the cosmological zeros have natural geometric and physical interpretations. As a byproduct, we establish an equivalence between the wavefunction coefficients of chain graphs and flat-space Tr(ϕ 3) amplitudes, enabling us to leverage the cosmological zeros to uncover the recently discovered hidden zeros of colored amplitudes.https://doi.org/10.1007/JHEP07(2025)174Cosmological modelsDifferential and Algebraic GeometryScattering Amplitudes
spellingShingle Shounak De
Shruti Paranjape
Andrzej Pokraka
Marcus Spradlin
Anastasia Volovich
Hidden zeros of the cosmological wavefunction
Journal of High Energy Physics
Cosmological models
Differential and Algebraic Geometry
Scattering Amplitudes
title Hidden zeros of the cosmological wavefunction
title_full Hidden zeros of the cosmological wavefunction
title_fullStr Hidden zeros of the cosmological wavefunction
title_full_unstemmed Hidden zeros of the cosmological wavefunction
title_short Hidden zeros of the cosmological wavefunction
title_sort hidden zeros of the cosmological wavefunction
topic Cosmological models
Differential and Algebraic Geometry
Scattering Amplitudes
url https://doi.org/10.1007/JHEP07(2025)174
work_keys_str_mv AT shounakde hiddenzerosofthecosmologicalwavefunction
AT shrutiparanjape hiddenzerosofthecosmologicalwavefunction
AT andrzejpokraka hiddenzerosofthecosmologicalwavefunction
AT marcusspradlin hiddenzerosofthecosmologicalwavefunction
AT anastasiavolovich hiddenzerosofthecosmologicalwavefunction