{"paper":{"title":"Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\\rm f}=3$ QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Alberto Ramos, Mattia Dalla Brida, Patrick Fritzsch, Rainer Sommer, Stefan Sint, Tomasz Korzec","submitted_at":"2016-07-21T18:53:32Z","abstract_excerpt":"Using a finite volume Gradient Flow (GF) renormalization scheme with Schr\\\"odinger Functional (SF) boundary conditions, we compute the non-perturbative running coupling in the range $2.2 \\lesssim {\\bar g}_\\mathrm{GF}^2(L) \\lesssim 13$. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is always between one-loop and two-loop and very close to one-loop in the region of $200\\,{\\rm MeV} \\lesssim \\mu=1/L \\lesssim 4\\,{\\rm GeV}$. While there is no convincing contact to two-loop running, we match non-perturbatively to the SF coupling with b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06423","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"}