6533b7d8fe1ef96bd126ae3e

RESEARCH PRODUCT

Implementation of the Neuberger-Dirac operator on GPUs

Bjoern WalkHartmut WittigEgor DranischnikowElmar Sch��mer

subject

High Energy Physics - LatticeHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciences

description

Recent developments have shown that a lot can be gained for QCD simulations from GPU hardware. This can be exploited especially in the case of Ginsparg-Wilson fermions when the com putational costs are particularly high. In this work, we use the Neuberger-Dirac operator as our realisation of Ginsparg-Wilson fermions, which greatly facilitate lattice investigations of decays like $K \to \pi\pi$. We report on the ongoing study of our GPU implementation of the Neuberger-Dirac operator including the exact treatment of the low lying eigenmodes of the Wilson-Dirac operator. Our benchmarks show that we achieve speed-up factors of around 23 and 16 in single and double precision, respectively.

http://arxiv.org/abs/1010.5636