2004/09/30 by A.D. Kennedy, A. D. Kennedy
Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Fermion #Gauge theory #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Markov Chains and Monte Carlo Methods #Mathematics #Monte Carlo method #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #Theoretical physics #hep-lat
paper · pdf · doi:10.1016/j.nuclphysbps.2004.11.243
Review presented at Lattice2004(plenary), Fermilab, June 21-26, 2004. 14 pages, 8 figures
arxiv created 2004/09/30 · openalex publication_date 2005/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs between performance and control of systematic errors. We briefly review the use of polynomial and rational approximations in Hybrid Monte Carlo algorithms, and some of the theory of on-shell chiral fermions on the lattice. This provides a theoretical framework within which we compare algorithmic alternatives for their implementation; and again we examine the trade-offs between speed and error control.