Hidden Zeros of the Cosmological Wavefunction

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: De, Shounak, Paranjape, Shruti, Pokraka, Andrzej, Spradlin, Marcus, Volovich, Anastasia
Formato: Preprint
Publicado: 2025
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866918061935689728
author De, Shounak
Paranjape, Shruti
Pokraka, Andrzej
Spradlin, Marcus
Volovich, Anastasia
author_facet De, Shounak
Paranjape, Shruti
Pokraka, Andrzej
Spradlin, Marcus
Volovich, Anastasia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23579
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hidden Zeros of the Cosmological Wavefunction
De, Shounak
Paranjape, Shruti
Pokraka, Andrzej
Spradlin, Marcus
Volovich, Anastasia
High Energy Physics - Theory
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.
title Hidden Zeros of the Cosmological Wavefunction
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.23579