{"paper":{"title":"Effective Field Theory of Large Scale Structure and Newtonian Motion Gauges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"An Einstein-Boltzmann code can compute the exact gauge transformation that reduces linear general relativistic equations for matter clustering to Newtonian equations with scale-independent growth.","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Antonia Mattes, Azadeh Moradinezhad Dizgah, Christian Fidler, Julien Lesgourgues, Simon Neuland","submitted_at":"2026-05-06T16:45:33Z","abstract_excerpt":"The simplest flavor of the Effective Field Theory of Large Scale Structure is based on Newtonian equations and describes the nonlinear matter density and velocity using Einstein-de-Sitter kernels. Even in the presence of massive neutrinos, this has been argued to be sufficient for the analysis of data from Stage-III galaxy surveys. In this paper, we show that there exists a simple way to extend the validity range of this framework to more complex problems with a scale-dependent growth factor, while incorporating linear general relativistic (GR) corrections as well. For a given cosmology, an Ei"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For a given cosmology, an Einstein-Boltzmann code can find the exact gauge transformation that brings the full linear equations of motion of the clustering matter components into a form where they are identical to Newtonian equations for a self-gravitating fluid with scale-independent growth. Non-linear clustering can be consistently computed in this gauge, and the results can be transformed back.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The self-consistency condition evaluated by the Einstein-Boltzmann code (on the smallness of a gauge transformation field) is fulfilled, allowing the nonlinear clustering computed in the Newtonian gauge to be transformed back without introducing uncontrolled errors.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Newtonian motion gauges extend the validity of Newtonian EFTofLSS to scale-dependent growth and GR effects by transforming linear equations to Newtonian form, computing nonlinear clustering there, and transforming results back.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"An Einstein-Boltzmann code can compute the exact gauge transformation that reduces linear general relativistic equations for matter clustering to Newtonian equations with scale-independent growth.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ad4148487d481d82ca70cb13e41d7e40a92c30a1c7046e1ba177fc412e19e565"},"source":{"id":"2605.05114","kind":"arxiv","version":2},"verdict":{"id":"75a60d04-8d3b-47f7-882d-aa7e12109c3a","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T16:53:39.498488Z","strongest_claim":"For a given cosmology, an Einstein-Boltzmann code can find the exact gauge transformation that brings the full linear equations of motion of the clustering matter components into a form where they are identical to Newtonian equations for a self-gravitating fluid with scale-independent growth. Non-linear clustering can be consistently computed in this gauge, and the results can be transformed back.","one_line_summary":"Newtonian motion gauges extend the validity of Newtonian EFTofLSS to scale-dependent growth and GR effects by transforming linear equations to Newtonian form, computing nonlinear clustering there, and transforming results back.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The self-consistency condition evaluated by the Einstein-Boltzmann code (on the smallness of a gauge transformation field) is fulfilled, allowing the nonlinear clustering computed in the Newtonian gauge to be transformed back without introducing uncontrolled errors.","pith_extraction_headline":"An Einstein-Boltzmann code can compute the exact gauge transformation that reduces linear general relativistic equations for matter clustering to Newtonian equations with scale-independent growth."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.05114/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T10:37:29.361549Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T21:31:19.554814Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T13:49:24.321333Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"8801cce0232ce6adc45d0a4e6823f234038917a3ff7a70c357a4667fa7272c24"},"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"}