Computing quark propagation in a gluon background

• Applicants: Professor Dr. Andreas Frommer; Privatdozent Dr. Karsten Kahl
• Subject Area: Mathematics ; Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 451886959

As part of the Research Unit 5269 „“Future methods for studying confined gluons in QCD“ develop and assess novel numerical algorithms for computations arising in lattice QCD simulations for quark propagators in a gluonic background. We mainly address three different areas: The first is exact or stochastic perambulator computations arising in distillation. There we develop new and adapt existing multilevel iterative solvers and pursue a new ansatz for stochastic distillation based on matrix functions. The second is the imporvement of adaptoe algebraic multigrid for the Wilson-Dirac matrix. One goal is to obtain a stationary method, another one to leverage recent developments in non-Galerkin constructions of operator hierarchies. Finally, we consider trace estimation for implicitly given matrices as they arise when computing contributions from disconnected diagrams in lattice QCD. There we focus on novel variance reduction techniques.

• DFG Programme: Research Units
• Subproject of: FOR 5269: Future methods for studying confined gluons in QCD
• International Connection: Ireland
• Cooperation Partner: Professor Dr. Michael Peardon