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2019
Symbol Recursion for the dS Wave Function Hillman, Aaron
Understand We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies.
The rule applies exactly for a class of interactions and cosmologies, which contains {\lambda}{\phi}^3 in dS_4, a case of particular relevance as a source of building blocks for inflationary correlators. We use the rule to efficiently reproduce the tree-level four-point contribution and present novel computations of the bubble integrand and the tree-level five-point contribution. Our results apply equally well to the computation of Witten diagrams in Euclidean AdS. Symbol Recursion for the dS Wave Function · Around
Built on Duhr, C. & Dulat, F., “PolyLogTools-Polylogs for the Masses”, JHEP (2019), arXiv:1904.07279 [hep-th]
Original
1904
Earlier work this paper cites.
Paolo Benincasa, “Scattering Amplitudes and the wave function of the Universe for Light States”, (2019) arXiv:1909.02517 [hep-th]
Original
1909
Earlier work this paper cites.
Daniel Baumann, Carlos Duaso Pueyo, Austin Joyce, Hayden Lee, and Guilherme L. Pimentel, “The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds”, (2019) arXiv:1910.14051 [hep-th]
Original
1910
Earlier work this paper cites.
Victor Gorbenko, Leonardo Senatore, “ λ ϕ 4 \lambda\phi^{4} in d S dS ”, arXiv:1911.00022
Original
1911
Earlier work this paper cites.
A. B. Goncharov A. B. Goncharov, Proc. Symp. Pure Math. 55, 43 (1994)
1994
Earlier work this paper cites.
Similar Juan Maldacena “Non-Gaussian Features of Primordial Fluctuations in Single-Field Inflation”, JHEP 0305 (2003) 013, arXiv:astro-ph/0210603
2003
Cited alongside, same era.
A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, “Classical Polylogarithms for Amplitudes and Wilson Loops,” Phys. Rev. Lett. 105 (2010) 151605 [arXiv:1006.5703 [hep-th]]
Original
2010
Cited alongside, same era.
Claud Duhr, Herbert Gangle, John R. Rhodes, “From Polygons and Symbols to Polylogarithmic Functions”, 10.1007/JHEP10(2012)075
2012
Cited alongside, same era.
Nima Arkani-Hamed and Juan Maldacena, “Cosmological Collider Physics”, (2015) arXiv:1503.08043 [hep-th]
Original
2015
Cited alongside, same era.
Dionysios Anninos et al, “Late-time Structure of the Bunche-Davies de Sitter wave function”, JCAP11(2015)048
2015
Then Nima Arkani-Hamed, Paolo Benincasa, and Alexander Postniokv, “Cosmological Polytopes and the wave function of the Universe”, (2017) arXiv:1709.02813 [hep-th]
Original
2017
Later among the works it cites.
Nima Arkani-Hamed, Ellis Yuan, “One-Loop Integrals from Spherical Projections of Planes and Quadrics”, (2017) arXiv:1712.09991v1 [hep-th]
Original
2017
Later among the works it cites.
Nima Arkani-Hamed, Paolo Benincasa, “On the Emergence of Lorentz-Invariance and Unitarity from the Scattering Facet of the Cosmological Polytope”, (2018) arXiv:1811.01125 [hep-th]
Original
2018
Later among the works it cites.
Nima Arkani-Hamed, Daniel Baumann, Hayden Lee, Guilherme Pimentel, “Cosmological Bootstrap: Inflationary Correlators from Symmetries and Singularities”, (2018) [arXiv:1811.00024]
Original
2018
Later among the works it cites.
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