{"paper":{"title":"Toward the QCD $\\beta$ Function with Dynamical Wilson Fermions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A.D. Kennedy, K.M. Bitar, P. Vranas, R.G. Edwards, U.M. Heller","submitted_at":"1994-11-25T21:19:30Z","abstract_excerpt":"We present data for the scaling behavior of lattice QCD with two flavors of light Wilson fermions. This is done by matching $\\pi$ n and $\\rho$ masses at the two lattice sizes of $16^3\\times32 $ and $8^3\\times16$. We find that at $\\beta=6/g^2\\equiv5.3$ the matching does not occur over a range extending down to $\\beta=3.5$. For $\\beta=5.5$ matching may be achieved at $\\beta=4.8-4.9$, leading to a $\\Delta \\beta =0.6-0.7$ which is higher than the perturbative 2-loop value of 0.45. In both cases we conclude that the simulations are very far from the perturbative scaling region."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9411057","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-lat/9411057/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"}