The gradient flow running coupling with twisted boundary conditions

• DOI: 10.1007/jhep11(2014)101
• Publication Date: 2014-12-01T11:43:26Z
• Authors: Alberto Ramos
• Keywords: Balanced flow; Cut-off; Periodic boundary conditions; Lattice (music); Coupling constant; Constant (computer programming); Energy density

We study the gradient flow for Yang-Mills theories with twisted boundary conditions. The perturbative behavior of energy density $\langle E(t)\rangle$ is used to define a running coupling at scale given by linear size finite volume box. compute non-perturbative pure gauge $SU(2)$ constant and conclude that technique well suited further applications due relatively mild cutoff effects step scaling function high numerical precision can be achieved in lattice simulations. also comment on inclusion matter fields.