Rational Wavefunctions in de Sitter Spacetime

Abstract

The Bootstrap approach to calculating cosmological correlators relies on a well motivated ansatz. It is typical in the literature to assume that correlators are rational functions as this greatly increases our constraining power. However, this has only previously been demonstrated for some specific theories. In this paper we find a set of assumptions which we prove are sufficient to ensure that the wavefunction coefficients are rational. As a corollary of this we generalise the manifestly local test to higher dimensions. This result greatly reduces the allowed space of functions that wavefunction coefficients can take in both the Effective Field Theory of Inflation and Pure Gravity models and is thus a key ingredient in the Cosmological Bootstrap program.

arXiv comment18 pages

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Cited by in corpus (7)

• Bootstrapping Multi-Field Inflation: non-Gaussianities from light scalars revisited
• On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction
• The graviton four-point function in de Sitter space
• Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
• Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams