{"paper":{"title":"From Full Dynamic to Pure Static: A Family of $GW$-Based Approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A hierarchy of GW approximations shows that reducing dynamical content in the self-energy yields reliable quasiparticle energies from simpler static schemes.","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","nucl-th"],"primary_cat":"physics.chem-ph","authors_text":"Johannes T\\\"olle, Pierre-Fran\\c{c}ois Loos","submitted_at":"2026-04-09T15:17:59Z","abstract_excerpt":"We introduce a systematic hierarchy of one-body Green's function methods derived from the $GW$ approximation, constructed by progressively reducing the dynamical content of the self-energy. Starting from the fully dynamical Dyson formulation, we generate a family of approximations that interpolates between the standard $GW$ approximation to purely static effective single-particle Hamiltonians. This framework enables a controlled investigation of the role of dynamical effects and particle-hole coupling in the description of ionization potentials. Within this unified formalism, the hole and part"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Consistently derived partially static schemes can yield reliable quasiparticle energies while significantly simplifying the underlying eigenvalue problem; the novel static Hermitian self-energy produces results remarkably close to those of qsGW.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the specific downfolding and progressive removal of dynamical content preserve the essential physics of the original GW self-energy across the molecular test set without introducing uncontrolled errors.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new family of GW-based methods is obtained by progressively staticizing the self-energy, with partially static members delivering reliable molecular ionization energies at reduced cost and a novel static Hermitian self-energy matching qsGW results.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A hierarchy of GW approximations shows that reducing dynamical content in the self-energy yields reliable quasiparticle energies from simpler static schemes.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"6cff051f6858f1b10680ed6af5dd619a7a7b1196d242434f68419c0a8f5b646b"},"source":{"id":"2604.08350","kind":"arxiv","version":2},"verdict":{"id":"dbc297bb-6aa7-4d13-9895-c09a8534841e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T17:58:33.843855Z","strongest_claim":"Consistently derived partially static schemes can yield reliable quasiparticle energies while significantly simplifying the underlying eigenvalue problem; the novel static Hermitian self-energy produces results remarkably close to those of qsGW.","one_line_summary":"A new family of GW-based methods is obtained by progressively staticizing the self-energy, with partially static members delivering reliable molecular ionization energies at reduced cost and a novel static Hermitian self-energy matching qsGW results.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the specific downfolding and progressive removal of dynamical content preserve the essential physics of the original GW self-energy across the molecular test set without introducing uncontrolled errors.","pith_extraction_headline":"A hierarchy of GW approximations shows that reducing dynamical content in the self-energy yields reliable quasiparticle energies from simpler static schemes."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.08350/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}