The role of multigrid algorithms for LQCD

Understand

We report on the first successful QCD multigrid algorithm which demonstrates constant convergence rates independent of quark mass and lattice volume for the Wilson Dirac operator.

• The new ingredient is the adaptive method for constructing the near null space on which the coarse grid multigrid Dirac operator acts.
• In addition we speculate on future prospects for extending this algorithm to the Domain Wall and Staggered discretizations, its exceptional suitability for high performance GPU code and its potential impact on simulations at the physical pion mass.