Critical slowing down and the gradient flow coupling in the Schrödinger functional

Abstract

We study the sensitivity of the gradient flow coupling to sectors of different topological charge and its implications in practical situations. Furthermore, we investigate an alternative definition of the running coupling that is expected to be less sensitive to the problems of the HMC algorithm to efficiently sample all topological sectors.

7 pages, 5 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 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 (7)

• The lattice gradient flow at tree-level and its improvement
• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Gradient Flow of O(N) nonlinear sigma model at large N
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• The Yang-Mills gradient flow and renormalization
• Memory efficient finite volume schemes with twisted boundary conditions