{"paper":{"title":"Evolution of One-Particle and Double-Occupied Green Functions for the Hubbard Model at Half-Filling With Lifetime Effects Within The Moment Approach","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.J. Rodr\\'iguez-N\\'u\\~nez, S. Schafroth","submitted_at":"1998-11-25T10:38:04Z","abstract_excerpt":"We evaluate the one-particle and double-occupied Green functions for the Hubbard model at half-filling using the moment approach of Nolting. Our starting point is a self-energy, $\\Sigma(\\vec{k},\\omega)$, which has a single pole, $\\Omega(\\vec{k})$, with {\\it spectral} weight, $\\alpha(\\vec{k})$, and quasi-particle lifetime, $\\gamma(\\vec{k})$. In our approach, $\\Sigma(\\vec{k},\\omega)$ becomes the central feature of the many-body problem and due to three unkown $\\vec{k}$-parameters we have to satisfy only the first three sum rules instead of four as in the canonical formulation of Nolting. This se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9811356","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"}