1998/12/18 by W. Bietenholz, H. Dilger · 1 citation
Physics and Astronomy · #Abelian group #Action (physics) #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Locality #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Truncation (statistics) #hep-lat
paper · pdf · doi:10.1016/s0550-3213(99)00113-3
published as Nucl.Phys. B549 (1999) 335-363 · 30 pages, 16 figures. Following the referee's suggestions, we have incorporated the material of hep-lat/9803018 in this comprehensive paper
arxiv created 1998/12/18 · openalex publication_date 1999/05/01 · arxiv updated 2009/12/01 · openalex created_date 2017/01/13 · openalex updated_date 2026/08/05
We construct and test a quasi-perfect lattice action for staggered fermions. The construction starts from free fermions, where we suggest a new blocking scheme, which leads to excellent locality of the perfect action. An adequate truncation preserves a high quality of the free action. An Abelian gauge field is inserted in d=2 by effectively tuning the couplings to a few short-ranged lattice paths, based on the behavior of topological zero modes. We simulate the Schwinger model with this action, applying a new variant of Hybrid Monte Carlo, which damps the computational overhead due to the non-standard couplings. We obtain a tiny ``pion'' mass down to very small β, while the ``η'' mass follows very closely the prediction of asymptotic scaling. The observation that even short-ranged quasi-perfect actions can yield strong improvement is most relevant in view of QCD.