{"paper":{"title":"Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.HE","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Chad R. Galley, Rafael A. Porto","submitted_at":"2013-02-18T23:55:28Z","abstract_excerpt":"We study the gravitational self-force using the effective field theory formalism. We show that in the ultra-relativistic limit \\gamma \\to \\infty, with \\gamma the boost factor, many simplifications arise. Drawing parallels with the large N limit in quantum field theory, we introduce the parameter 1/N = 1/\\gamma^2 and show that the effective action admits a well defined expansion in powers of \\lambda = N\\epsilon, at each order in 1/N, where \\epsilon = E_m/M and E_m=\\gamma m is the (kinetic) energy of the small mass. Moreover, we show that diagrams with nonlinear bulk interactions first enter at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4486","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}