{"paper":{"title":"Fourth-order QCD renormalization group quantities in the {\\rm{V}}-scheme and the relation of the $\\beta$-function to the Gell-Mann--Low function in QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A.L. Kataev (INR RAS, Dolgoprudnyi), Moscow), V.S. Molokoedov (MIPT","submitted_at":"2015-07-13T18:49:54Z","abstract_excerpt":"The semi-analytical $O(\\alpha_s^4)$ expression for the renormalization group $\\beta$-function in the ${\\rm{V}}$-scheme is obtained in the case of the $SU(N_c)$ gauge group. In the process of calculations we use the existing information about the three-loop perturbative approximation for the QCD static potential, evaluated in the $\\rm{\\overline{MS}}$-scheme. The comparison of the numerical values of the third and fourth coefficients for the QCD RG $\\beta$- functions in the gauge-independent ${\\rm{V}}$- and $\\rm{\\overline{MS}}$-schemes and in minimal MOM scheme in the the Landau gauge is present"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03547","kind":"arxiv","version":3},"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"}