Hasenfratz, Anna and Schaich, David 
ORCID: 0000-0002-9826-2951
(2018)
Nonperturbative β function of twelve-flavor SU(3) gauge theory.
Journal of High Energy Physics, 2018 (2).
132-.
|
Text
12f_beta.pdf - Author Accepted Manuscript Download (5MB) | Preview |
Abstract
We study the discrete β function of SU(3) gauge theory with N f = 12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling g~2c(L) we determine the continuum-extrapolated discrete β function up to g 2c ≈ 8.2. We observe an IR fixed point at g 2⋆ = 7.3( + 8− 2) in the c=8t−−√/L=0.25 scheme, and g 2⋆ = 7.3( + 6− 3) 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 g~2c(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( + 6− 1) 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.
| Item Type: | Article |
|---|---|
| Additional Information: | One of four consistency checks corrected, changing some systematic uncertainty estimates |
| Uncontrolled Keywords: | Lattice quantum field theory, Renormalization group, Technicolour and composite models |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 10 Jun 2019 08:53 |
| Last Modified: | 19 Jan 2023 00:40 |
| DOI: | 10.1007/jhep02(2018)132 |
| Open Access URL: | https://link.springer.com/article/10.1007/JHEP02(2... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3045161 |
Dimensions
Dimensions
