Review on Algorithms for dynamical fermions
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)(2024)
摘要
This review gives an overview on the research of algorithms for dynamical
fermions used in large scale lattice QCD simulations.
First a short overview on the state-of-the-art of ensemble generation at the
physical point is given.
Followed by an overview on necessary steps towards simulation of large
lattices with the Hybrid Monte Carlo algorithm. Here, the status of iterative
solvers and tuning procedures for numerical integrators within the molecular
dynamics are discussed.
This is followed by a review on the on-going developments for algorithms,
with a focus on methods which are potentially useful to simulate gauge theories
at very fine lattice spacings, i.e. well suited to overcome freezing of the
topological charge. This includes modification of the HMC algorithm as well as
a discussion of algorithms which includes the fermion weight via global
correction steps. Parts of the discussions are on the application of generative
models via gauge equivariant flows as well as multi-level algorithms.
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