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We introduce the orthogonal Grassmannian as a novel kinematic space for describing correlators of massless spinning fields in de Sitter space. By automatically encoding the constraints of conformal symmetry and current conservation, the…

High Energy Physics - Theory · Physics 2026-02-10 Mattia Arundine , Daniel Baumann , Mang Hei Gordon Lee , Guilherme L. Pimentel , Facundo Rost

We provide a first principle definition of cosmological correlation functions for a large class of scalar toy models in arbitrary FRW cosmologies, in terms of novel geometries we name {\it weighted cosmological polytopes}. Each of these…

High Energy Physics - Theory · Physics 2025-03-26 Paolo Benincasa , Gabriele Dian

Speed matters. How the masses and spins of new particles active during inflation can be read off from the statistical properties of primordial density fluctuations is well understood. However, not when the propagation speeds of the new…

High Energy Physics - Theory · Physics 2025-03-27 Sadra Jazayeri , Sébastien Renaux-Petel

Recently, "cosmohedra" have been introduced as polytopes underlying the cosmological wavefunction for conformally coupled Tr($\Phi^3$) theory in FRW cosmologies, generalizing associahedra for flat space scattering amplitudes. In this letter…

High Energy Physics - Theory · Physics 2026-01-08 Carolina Figueiredo , Francisco Vazão

The analytic structure of non-Gaussian correlators in inflationary cosmologies has recently been proposed as a test of the quantum origin of structure in the universe. To further understand this proposal, we explore the analogous equal-time…

High Energy Physics - Theory · Physics 2022-08-17 Daniel Green , Yiwen Huang

We develop a nonperturbative tensor-network framework for computing cosmological correlators in de Sitter space and use it to test the proposal that suitably defined in-in correlators can be obtained from an in-out formalism by gluing the…

High Energy Physics - Theory · Physics 2026-03-30 Ujjwal Basumatary , Aninda Sinha , Xinan Zhou

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

High Energy Physics - Theory · Physics 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

In-in correlators are the basic observables in cosmology and are traditionally computed using the Schwinger-Keldysh formalism. In this paper we revisit this formalism for photons, gluons, and gravitons coupled to scalars in four dimensional…

High Energy Physics - Theory · Physics 2025-12-17 Chandramouli Chowdhury , Arthur Lipstein , Joe Marshall , Alex Jiayi Zhang

Motivated by recent evidence that equal-time correlators can be simpler than the corresponding wavefunction coefficients, we study de Sitter correlators in conformally coupled $\phi^3$ theory directly. By inverting the momentum-space…

High Energy Physics - Theory · Physics 2026-04-30 Chandramouli Chowdhury , Song He , Yong-Xiang Su , Dongyu Yang

In this work, we study the realisation of unitarity-based cutting rules for primordial cosmological correlators computed within the Schwinger-Keldysh path integral formalism. While cutting rules have been previously derived for wavefunction…

High Energy Physics - Theory · Physics 2026-01-27 Francisco Colipí-Marchant , Gabriel Marin , Gonzalo A. Palma , Francisco Rojas

We study the correlators for interacting quantum field theory in the flat chart of de Sitter space at all orders in perturbation. The correlators are calculated in the in-in formalism which are often applied to the calculations in the…

General Relativity and Quantum Cosmology · Physics 2013-01-11 Yusuke Korai , Takahiro Tanaka

We study the scalar modes of linear perturbations in loop quantum cosmology. This is done on a lattice where each cell is taken to be homogeneous and isotropic and can be quantized via standard homogeneous loop quantum cosmology techniques.…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Edward Wilson-Ewing

We introduce and study an extension of the correlator of unparticle matter operators in a cosmological environment. Starting from FRW spaces we specialize to a de Sitter spacetime and derive its inflationary power spectrum which we find to…

High Energy Physics - Theory · Physics 2008-11-26 G. L. Alberghi , A. Yu. Kamenshchik , A. Tronconi , G. P. Vacca , G. Venturi

This white paper summarizes recent progress in the cosmological bootstrap, an approach to the study of the statistics of primordial fluctuations from consistency with unitarity, locality and symmetry assumptions. We review the key ideas of…

High Energy Physics - Theory · Physics 2022-03-16 Daniel Baumann , Daniel Green , Austin Joyce , Enrico Pajer , Guilherme L. Pimentel , Charlotte Sleight , Massimo Taronna

Cuscuton Gravity is characterized as a scalar field that can be added to general relativity without introducing any new dynamical degrees of freedom on a cosmological background. Yet, it modifies gravity such that spacetime singularities…

High Energy Physics - Theory · Physics 2025-05-19 Amir Dehghani , Ghazal Geshnizjani , Jerome Quintin

We study cosmological solutions to the low-energy effective action of heterotic string theory including possible leading order $\alpha'$ corrections and a potential for the dilaton. We consider the possibility that including such stringy…

High Energy Physics - Theory · Physics 2007-05-23 Damien A. Easson

We recently proposed a formula for tree-level $n$-point correlators of massive $\phi^4$ theory in de Sitter momentum space which consists of an integral over $n$ punctures on the Riemann sphere and differential operators in the future…

High Energy Physics - Theory · Physics 2022-08-05 Humberto Gomez , Renann Lipinski Jusinskas , Arthur Lipstein

Cosmological fluctuations retain a memory of the physics that generated them in their spatial correlations. The strength of correlations varies smoothly as a function of external kinematics, which is encoded in differential equations…

High Energy Physics - Theory · Physics 2024-07-04 Nima Arkani-Hamed , Daniel Baumann , Aaron Hillman , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

Non-local interactions naturally arise in the ADM formalism after solving the constraint equations and substituting their solutions back into the action. However, the effects of these non-local operators on loop corrections to cosmological…

High Energy Physics - Theory · Physics 2025-12-15 Elaf Ansari , Supritha Bhowmick , Diptimoy Ghosh

Cosmological correlators, the natural observables of the primordial universe, have been extensively studied in the past two decades using the in-in formalism pioneered by Schwinger and Keldysh for the study of dissipative open systems.…

High Energy Physics - Theory · Physics 2024-02-28 Yaniv Donath , Enrico Pajer