Static force from generalized Wilson loops on the lattice using the gradient flow
Abstract
The static QCD force from the lattice can be used to extract ΛMS ¯, which determines the running of the strong coupling. Usually, this is done with a numerical derivative of the static potential. However, this introduces additional systematic uncertainties; thus, we use another observable to measure the static force directly. This observable consists of a Wilson loop with a chromoelectric field insertion. We work in the pure SU(3) gauge theory. We use gradient flow to improve the signal-to-noise ratio and to address the field insertion. We extract ΛMS¯ nf=0 from the data by exploring different methods to perform the zero-flow-time limit. We obtain the value √{8 t0 }ΛMS¯ nf=0=0.62 9-26+22 , where t0 is a flow-time reference scale. We also obtain precise determinations of several scales: r0/r1, √{8 t0 }/r0, √{8 t0 }/r1, and we compare these to the literature. The gradient flow appears to be a promising method for calculations of Wilson loops with chromoelectric and chromomagnetic insertions in quenched and unquenched configurations.
- Publication:
-
Physical Review D
- Pub Date:
- June 2024
- DOI:
- 10.1103/PhysRevD.109.114517
- arXiv:
- arXiv:2312.17231
- Bibcode:
- 2024PhRvD.109k4517B
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory;
- Nuclear Theory
- E-Print:
- 27 pages, 19 figures The latest version matches the reviewed and accepted version