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Algorithms for lattice QCD: progress and challenges
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Algorithms for lattice QCD: progress and challenges
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The development of improved algorithms for QCD on the lattice has enabled us to do calculations at small quark masses and get control over the chiral extrapolation. Also finer lattices have become possible, however, a severe slowing down associated with the topology of the gauge fields has been observed. This may prevent simulations of lattices fine enough for controlling the continuum extrapolation. This conference contribution introduces the basic concepts behind contemporary lattice algorithms, the current knowledge about their slowing down towards the continuum and its consequences for future lattice simulations.
Forward citations
Cited by 2 Pith papers
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A Finite-Volume Scheme for the Continuum Extrapolation of Lattice Step-Scaling in (2+1)D Hamiltonian U(1) Gauge Theory
Introduces and tests a finite-volume scheme enabling stable continuum extrapolation of the step-scaling function in (2+1)D Hamiltonian U(1) gauge theory via matrix product states.
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FLAG Review 2024
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
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