First Numerical Experiences with Overlap Fermions based on the Brillouin Kernel

Abstract

Numerical experiences are reported with overlap fermions which employ the Brillouin action as a kernel. After discussing the dispersion relations of both the kernel and the resulting chiral action, some of the physics features are addressed on quenched backgrounds. We find that the overlap with Brillouin kernel is much better localized than the overlap with Wilson kernel. Also a preliminary account is given of the cost of the formulation, in terms of CPU time and memory.34th International Symposium on Lattice Field Theory

Lattice QCD on new chips: a community summary

“…Optimisation of the Brillouin operator on the KNL architecture: S. Durr presented a rather straightforward, but still performing, implementation of the Brillouin operator for the KNL architecture [7]. Brillouin is an implementation of the Dirac operator that shows better scaling properties of the dispersion relations compared to the usual Wilson Dirac operator, and it represents a suitable kernel for the overlap procedure [8,9]. Compared to the Wilson operator the Brillouin operator requires many more hop terms, leading to an estimate of the ratio of computational intensity of Brillouin over Wilson of 5/2.…”