Quenched Static force from generalized Wilson loops with gradient flow

We compute the static force on the lattice in the quenched case directly through generalized Wilson loops. We modify the Wilson loop by inserting an E-field component on one of the temporal Wilson lines. However, chromo-field components prevent us from performing the continuum limit properly, hence, we use gradient flow to renormalize the field insertion. As a result, we obtain continuum results and compare them to perturbative expression to extract Λ₀, and we predict the value √8t₀ ΛMS̄nf=0 =0.629⁺²²₋₂₆. This work serves as preparation for similar operators with field insertions required in nonrelativistic effective field theories.