A Laplace-space representation converts massive single-exchange cosmological correlators in de Sitter into a rapidly convergent series derived from flat-space integrals.
An Alternative Viewpoint on Kinematic Flow from Tubing Splitting
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The differential equations satisfied by the wavefunction coefficients of conformally coupled scalars in a power-law cosmology can be recast into an iterative differential system of basis functions. These functions can be encoded within graph tubings, and are governed by a set of rules describing how they flow in kinematic space. In this paper we propose a new viewpoint on the kinematic flow by reformulating the relations among these basis functions through reversing the evolution direction of the tubings. The differential equations can then be derived by constructing appropriate splitting rules equivalent to the kinematic flow (at tree level). While the implementation of these rules can be somewhat complicated, they reveal richer physical structures underlying the differential equations, such as singularities and local evolution. Under an alternative basis based on time ordering, these rules offer important implications for how time emerges from kinematic space. This conclusion is even not restricted to individual Feynman diagrams, and can be generalized to the tr $\phi^3$ theory. This suggests that the tubings, as well as the kinematic flow, might be more fundamental objects than the differential equations, and have a life of their own.
fields
hep-th 3years
2026 3representative citing papers
The double-exchange cosmological correlator is computed in KLF space, yielding a double series over hypergeometric functions that improves on prior four-layer representations.
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-difference operators and cubical integrals.
citing papers explorer
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Massive Cosmological Correlators from Flat Space: a Laplace-Space Approach
A Laplace-space representation converts massive single-exchange cosmological correlators in de Sitter into a rapidly convergent series derived from flat-space integrals.
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Cosmological Correlators in KLF and the Double-Exchange
The double-exchange cosmological correlator is computed in KLF space, yielding a double series over hypergeometric functions that improves on prior four-layer representations.
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A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction
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-difference operators and cubical integrals.