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Stochastic locality and master-field simulations of very large lattices

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arxiv 1707.09758 v1 pith:DFAT4PLF submitted 2017-07-31 hep-lat

Stochastic locality and master-field simulations of very large lattices

classification hep-lat
keywords fieldlargemaster-fieldsimulationslatticelatticesstochasticvery
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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