{"paper":{"title":"Logarithmic Duality of the Curvature Perturbation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Misao Sasaki, Shi Pi","submitted_at":"2022-11-25T07:21:44Z","abstract_excerpt":"We study the comoving curvature perturbation $\\mathcal{R}$ in the single-field inflation models whose potential can be approximated by a piecewise quadratic potential $V(\\varphi)$ by using the $\\delta N$ formalism. We find a general formula for $\\mathcal{R}(\\delta\\varphi, \\delta\\pi)$, consisting of a sum of logarithmic functions of the field perturbation $\\delta\\varphi$ and the velocity perturbation $\\delta\\pi$ at the point of interest, as well as of $\\delta\\pi_*$ at the boundaries of each quadratic piece, which are functions of ($\\delta\\varphi, \\delta\\pi$) through the equation of motion. Each"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.13932","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.13932/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}