Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics

2011/03/30 by Margarita Garcı́a Pérez, Margarita Garcia Perez, Antonio González-Arroyo +2
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Geometry and complex manifolds #Random Matrices and Applications #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep07(2011)034

39 pages, 15 figures

arxiv created 2011/03/30 · openalex publication_date 2011/07/01 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We present a detailed study of a filtering method based upon Dirac quasi-zero-modes in the adjoint representation. The procedure induces no distortions on configurations which are solutions of the euclidean classical equations of motion. On the other hand, it is very effective in reducing the short-wavelength stochastic noise present in Monte Carlo generated configurations. After testing the performance of the method in various situations, we apply it successfully to study the effect of Monte Carlo dynamics on topological structures like instantons.

Citations

• Construction of instantons
• Do classical configurations produce confinement?
• Instantons and magnetic monopoles on R3×S1 with arbitrary simple gauge groups
• Local structure of topological charge fluctuations in QCD
• Quantitative comparison of filtering methods in lattice QCD
• Instantons in QCD
• Numerical study of Yang-Mills classical solutions on the twisted torus