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- W4383313697 abstract "We study the comoving curvature perturbation R in the single-field inflation models whose potential can be approximated by a piecewise quadratic potential V(φ) by using the δN formalism. We find a general formula for R(δφ,δπ), consisting of a sum of logarithmic functions of the field perturbation δφ and the velocity perturbation δπ at the point of interest, as well as of δπ_{*} at the boundaries of each quadratic piece, which are functions of (δφ,δπ) through the equation of motion. Each logarithmic expression has an equivalent dual expression, due to the second-order nature of the equation of motion for φ. We also clarify the condition under which R(δφ,δπ) reduces to a single logarithm, which yields either the renowned exponential tail of the probability distribution function of R or a Gumbel-distribution-like tail." @default.
- W4383313697 created "2023-07-07" @default.
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- W4383313697 date "2023-07-06" @default.
- W4383313697 modified "2023-10-15" @default.
- W4383313697 title "Logarithmic Duality of the Curvature Perturbation" @default.
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- W4383313697 doi "https://doi.org/10.1103/physrevlett.131.011002" @default.
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