Algebraic Multigrid for Disordered Systems and Lattice Gauge Theories
Christoph Best
Abstract
The construction of multigrid operators for disordered linear lattice operators, in particular the fermion matrix in lattice gauge theories, by means of algebraic multigrid and block LU decomposition is discussed. In this formalism, the effective coarse-grid operator is obtained as the Schur complement of the original matrix. An optimal approximation to it is found by a numerical optimization procedure akin to Monte Carlo renormalization, resulting in a generalized (gauge-path dependent) stencil that is easily evaluated for a given disorder field. Applications to preconditioning and relaxation methods are investigated.
Create a lesson
Related papers
Computability of GPDs near x=ξ in Lattice QCD
Yushan Su, Xiangdong Ji, Yizhuang Liu et al.
Numerical Investigations of Phase Transitions in Lattice Field Theories
Vamika Longia
Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
Ed Bennett, Peter A. Boyle, Luigi Del Debbio et al.
The soft-gluon limit of the Landau gauge ghost-gluon vertex: results for pure Yang-Mills SU(3) theory from lattice simulations
Nuno Brito, Orlando Oliveira, Paulo J. Silva
Testing strong isospin breaking effects in QCD thermodynamics
D. A. Clarke, B. B. Brandt
A Vector-Vector-Axial Anomaly in 4D
Evan Berkowitz, Shi Chen, Aleksey Cherman