Nonperturbative β function of twelve-flavor SU(3) gauge theory

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

[img]
Preview
Text
10.1007-JHEP02(2018)132.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (2MB) | Preview

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)

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:

23 Oct 2019 18:24

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

Actions (login required)

Edit item Edit item
Provide Feedback