{"paper":{"title":"Conditions where RPA becomes exact in the high-density limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","physics.atm-clus","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Kare Narain Pathak, Klaus Morawetz, Renu Bala, Vinod Ashokan","submitted_at":"2018-02-28T09:03:39Z","abstract_excerpt":"It is shown that in $d$-dimensional systems, the vertex corrections beyond the random phase approximation (RPA) or GW approximation scales with the power $d-\\beta-\\alpha$ of the Fermi momentum if the relation between Fermi energy and Fermi momentum is $\\epsilon_{\\rm f}\\sim p_{\\rm f}^\\beta$ and the interacting potential possesses a momentum-power-law of $\\sim p^{-\\alpha}$. The condition $d-\\beta-\\alpha<0$ specifies systems where RPA is exact in the high-density limit. The one-dimensional structure factor is found to be the interaction-free one in the high-density limit for contact interaction. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10312","kind":"arxiv","version":1},"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"}