The gradient flow in a twisted box

Abstract

We study the perturbative behavior of the gradient flow in a twisted box. We apply this information to define a running coupling using the energy density of the flow field. We study the step-scaling function and the size of cutoff effects in SU(2) pure gauge theory. We conclude that the twisted gradient flow running coupling scheme is a valid strategy for step-scaling purposes due to the relatively mild cutoff effects and high precision.

LaTeX. 7 pages. Proceedings of the 31st International Symposium on Lattice Field Theory - LATTICE 2013. July 29 - August 3, 2013. Mainz, Germany

References in corpus (3)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Studying the gradient flow coupling in the Schrödinger functional
• The Yang-Mills gradient flow in finite volume

Cited by in corpus (8)

• The lattice gradient flow at tree-level and its improvement
• Future applications of the Yang-Mills gradient flow in lattice QCD
• Gradient Flow of O(N) nonlinear sigma model at large N
• The Gradient Flow Coupling in Minimal Walking Technicolor
• The running coupling of 8 flavors and 3 colors
• The running coupling of the minimal sextet composite Higgs model
• Schrödinger functional boundary conditions and improvement for N>3
• TEK twisted gradient flow running coupling