Hasenfratz, Anna; Schaich, David Alexander (2018). Nonperturbative β function of twelve-flavor SU(3) gauge theory. Journal of High Energy Physics, 2018(2) Springer 10.1007/JHEP02(2018)132
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We study the discrete β 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 g c(L) we determine the continuum-extrapolated discrete β function up to gc2 ≈ 8.2. We observe an IR fixed point at g2 = 7.3 (+8⋆-2) in the c = √8t/L = 0.25 scheme, and g2 = 7.3 (+6⋆−3) with c = 0.3, combining statistical and systematic uncertainties in quadrature. The systematic effects we 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 γg⋆ = 0.26(2), comparable to perturbative estimates.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Schaich, David Alexander |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1029-8479 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
14 May 2018 11:35 |
Last Modified: |
05 Dec 2022 15:14 |
Publisher DOI: |
10.1007/JHEP02(2018)132 |
ArXiv ID: |
1610.10004 |
BORIS DOI: |
10.7892/boris.116470 |
URI: |
https://boris.unibe.ch/id/eprint/116470 |
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