Year: 2023
Type: article
Abstract: Nonperturbative determinations of the renormalization group $\ensuremath{\beta}$ function are essential to connect lattice results to perturbative predictions of strongly coupled gauge theories and to determine the $\mathrm{\ensuremath{\Lambda}}$ parameter or the strong coupling constant. The continuous $\ensuremath{\beta}$ function is very well suited for this task because it is applicable both in the weakly coupled deconfined regime as well as the strongly coupled confined regime. Here we report on our results for the $\ensuremath{\beta}$ function of the pure gauge SU(3) Yang-Mills theory in the gradient flow scheme. Our calculations cover the renormalized coupling range ${g}_{\mathrm{GF}}^{2}\ensuremath{\sim}1.2--27$, allowing for a direct determination of $\sqrt{8{t}_{0}}{\mathrm{\ensuremath{\Lambda}}}_{\overline{\mathrm{MS}}}$ in this system. Our prediction, $\sqrt{8{t}_{0}}{\mathrm{\ensuremath{\Lambda}}}_{\overline{\mathrm{MS}}}=0.622(10)$, is in good agreement with recent direct determinations of this quantity.
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G154696372, ELEMENTARY PARTICLE PHYSICS AND HIGH ENERGY PHENOMENA, G2289692176, G2586609609, Graduate Research Fellowship Program (GRFP), G2796167598, MRI Collaborative Consortium: Acquisition of a Shared Supercomputer by the Rocky Mountain Advanced Computing Consortium, G4404904460, G4958434179, G498139845, MRI Collaborative Consortium: Acquisition of a Shared Supercomputer by the Rocky Mountain Advanced Computing Consortium, G5616713406, G585908603, G716412294, ELEMENTARY PARTICLE PHYSICS AND HIGH ENERGY PHENOMENA, G86560745, G8929392486, G969889393
OpenAlex ID: W4322825154