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Main Authors: Chowdhury, Chandramouli, Lipstein, Arthur, Marshall, Joe, Zhang, Alex Jiayi
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.14694
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author Chowdhury, Chandramouli
Lipstein, Arthur
Marshall, Joe
Zhang, Alex Jiayi
author_facet Chowdhury, Chandramouli
Lipstein, Arthur
Marshall, Joe
Zhang, Alex Jiayi
contents 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 de Sitter space and provide a novel treatment of boundary gauge-fixing of the underlying path integral. We also derive effective actions in Euclidean Anti-de Sitter space whose Feynman rules compute the in-in correlators of these theories in de Sitter space, generalising the shadow formalism recently obtained for scalar theories. We illustrate this formalism in a number of examples at tree-level and 1-loop, demonstrating its relative simplicity compared to other approaches. Moreover, we initiate the study of color/kinematics duality and the double copy for in-in correlators using dressing rules which uplift flat space Feynman diagrams to de Sitter space.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14694
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On in-in correlators for spinning theories and their shadow formulation
Chowdhury, Chandramouli
Lipstein, Arthur
Marshall, Joe
Zhang, Alex Jiayi
High Energy Physics - Theory
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 de Sitter space and provide a novel treatment of boundary gauge-fixing of the underlying path integral. We also derive effective actions in Euclidean Anti-de Sitter space whose Feynman rules compute the in-in correlators of these theories in de Sitter space, generalising the shadow formalism recently obtained for scalar theories. We illustrate this formalism in a number of examples at tree-level and 1-loop, demonstrating its relative simplicity compared to other approaches. Moreover, we initiate the study of color/kinematics duality and the double copy for in-in correlators using dressing rules which uplift flat space Feynman diagrams to de Sitter space.
title On in-in correlators for spinning theories and their shadow formulation
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.14694