QCD static force in gradient flow

Abstract

We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the $O({\Lambda }_{\text{QCD}})$ renormalon appearing in the static potential but suffers from poor convergence in the lattice QCD computations. It is expected that the gradient flow formalism can improve the convergence. Based on our next-to-leading-order calculations, we explore the properties of the static force for arbitrary flow time $t$, as well as in the limit $t\to 0$, which may be useful for lattice QCD simulations.

8 pages, 5 figures, Confinement XV. arXiv admin note: substantial text overlap with arXiv:2111.07811

References in corpus (10)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• Sector Decomposition
• Nonperturbative determination of the QCD potential at O(1/m)
• Spin-dependent potentials from lattice QCD
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Inclusive Production of Heavy Quarkonia in pNRQCD
• The static force from generalized Wilson loops using gradient flow
• QCD Static Force in Gradient Flow