{"paper":{"title":"Exact electronic Green functions in a Luttinger liquid with long-range interactions","license":"","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"An\\'ibal Iucci, Carlos Na\\'on","submitted_at":"1999-12-10T22:32:28Z","abstract_excerpt":"We compute the 2-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a \"super long-range\" potential of the form $V(x)=\\frac{e^2d^{-\\epsilon}}{|x|^{1-\\epsilon}}$. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the $\\exp-C(logx)^{3/2}$ long-distance behavior first obtained by Schulz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912193","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":""},"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"}