Stochastic locality and master-field simulations of very large lattices

Abstract

In lattice QCD and other field theories with a mass gap, the field variables in distant regions of a physically large lattice are only weakly correlated. Accurate stochastic estimates of the expectation values of local observables may therefore be obtained from a single representative field. Such master-field simulations potentially allow very large lattices to be simulated, but require various conceptual and technical issues to be addressed. In this talk, an introduction to the subject is provided and some encouraging results of master-field simulations of the SU(3) gauge theory are reported.

Talk given at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain; LaTeX source with 6 figures

References in corpus (4)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Variance Reduction and Cluster Decomposition
• SMD-based numerical stochastic perturbation theory
• Non-renormalizability of the HMC algorithm

Cited by in corpus (27)

• Scattering amplitudes from finite-volume spectral functions
• Thermal quarkonium physics in the pseudoscalar channel
• Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness
• CLS 2+1 flavor simulations at physical light- and strange-quark masses
• Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Multigrid approach in shifted linear systems for the non-degenerated twisted mass operator
• Topological sampling through windings
• Toward a First-Principles Calculation of Electroweak Box Diagrams
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• On fits to correlated and auto-correlated data
• Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Multi-boson block factorization of fermions
• Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo
• Finite size effect on vector meson and baryon sectors in 2+1 flavor QCD at the physical point
• Neural-network preconditioners for solving the Dirac equation in lattice gauge theory
• Parallel Tempered Metadynamics: Overcoming potential barriers without surfing or tunneling
• Lattice QCD noise reduction for bosonic correlators through blocking
• Strong CP problem in the quantum rotor
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Open-Boundary Conditions in the Deconfined Phase
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Four-dimensional factorization of the fermion determinant in lattice QCD
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence
• Scale Setting and Topological Observables in Pure SU(2) LGT