Multigrid algorithm for staggered lattice fermions
| Autor: | Richard C. Brower, Alexei Strelchenko, Evan Weinberg, M. A. Clark |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Quantum chromodynamics
Physics Discretization 010308 nuclear & particles physics High Energy Physics::Lattice Lattice field theory Lattice QCD Dirac operator 01 natural sciences symbols.namesake Multigrid method Lattice (order) 0103 physical sciences symbols 010306 general physics Galerkin method Mathematical physics |
| Zdroj: | Physical Review |
| Popis: | Critical slowing down in Krylov methods for the Dirac operator presents a major obstacle to further advances in lattice field theory as it approaches the continuum solution. Here we formulate a multigrid algorithm for the Kogut-Susskind (or staggered) fermion discretization which has proven difficult relative to Wilson multigrid due to its first-order anti-Hermitian structure. The solution is to introduce a novel spectral transformation by the K\"ahler-Dirac spin structure prior to the Galerkin projection. We present numerical results for the two-dimensional, two-flavor Schwinger model; however, the general formalism is agnostic to dimension and is directly applicable to four-dimensional lattice QCD. |
| Databáze: | OpenAIRE |
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