A projective multigrid method is considered for application to fermion propagators in the presence of gauge fields. The collective variables on each block are defined by the gauge-invariant projection onto the lowest eigenstate for the block. The scheme is formulated in detail for two-dimensional bosons and Wilson fermions in the U(1) gauge theory and numerical studies are presented for bosons to demonstrate its potential for more efficient convergence. For example, at a confinement length of 8 lattice units on a 64 x 64 lattice, the projective multigrid method gives a speed up of almost two orders of magnitude relative to the Gauss-Seidel algorithm.
|Autori:||BROWER RC; REBBI C; VICARI E|
|Titolo:||PROJECTIVE MULTIGRID METHOD FOR PROPAGATORS IN LATTICE GAUGE-THEORY|
|Anno del prodotto:||1991|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.43.1965|
|Appare nelle tipologie:||1.1 Articolo in rivista|