Adaptive Multigrid Algorithm for Lattice QCD
Abstract
We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space. The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit. Results are presented for the Wilson-Dirac operator of the 2D U(1) Schwinger model.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2008
- DOI:
- 10.1103/PhysRevLett.100.041601
- arXiv:
- arXiv:0707.4018
- Bibcode:
- 2008PhRvL.100d1601B
- Keywords:
-
- 11.15.Ha;
- 12.38.Gc;
- Lattice gauge theory;
- Lattice QCD calculations;
- High Energy Physics - Lattice
- E-Print:
- 4 pages, 2 figures