Papers › Nonperturbative beta function of twelve-flavor SU(3) gauge theory
Nonperturbative beta function of twelve-flavor SU(3) gauge theory
Anna Hasenfratz, David Schaich
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
We study the discrete beta function of SU(3) gauge theory with Nf=12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling g̃_c²(L) we determine the continuum-extrapolated discrete beta function up to g_c² ≈8.2. We observe an IR fixed point at g_⋆² = 7.3(₋₂⁺⁸) in the c = √(8t) / L = 0.25 scheme, and g_⋆² = 7.3(₋₃⁺⁶) with c=0.3, combining statistical and systematic uncertainties in quadrature. The systematic effects we investigate include the stability of the (a / L) →0 extrapolations, the interpolation of g̃_c²(L) as a function of the bare coupling, the improvement of the gradient flow running coupling, and the discretization of the energy density. In an appendix we observe that the resulting systematic errors increase dramatically upon combining smaller c ≲0.2 with smaller L ≤12, leading to an IR fixed point at g_⋆² = 5.9(1.9) in the c=0.2 scheme, which resolves to g_⋆² = 6.9(₋₁⁺⁶) upon considering only L ≥16. At the IR fixed point we measure the leading irrelevant critical exponent to be γ_g^⋆ = 0.26(2), comparable to perturbative estimates.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections