{"paper":{"title":"A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Rajamani Narayanan, Robert G. Edwards, Urs M. Heller","submitted_at":"1998-07-08T18:52:05Z","abstract_excerpt":"We study three practical implementations of the Overlap-Dirac operator $D_o= (1/2) [1 + \\gamma_5\\epsilon(H_w)]$ in four dimensions. Two implementations are based on different representations of $\\epsilon(H_w)$ as a sum over poles. One of them is a polar decomposition and the other is an optimal fit to a ratio of polynomials. The third one is obtained by representing $\\epsilon(H_w)$ using Gegenbauer polynomials and is referred to as the fractional inverse method. After presenting some spectral properties of the Hermitian operator $H_o=\\gamma_5 D_o$, we study its spectrum in a smooth SU(2) insta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9807017","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"}