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Monte Carlo errors with less errors
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We explain in detail how to estimate mean values and assess statistical errors for arbitrary functions of elementary observables in Monte Carlo simulations. The method is to estimate and sum the relevant autocorrelation functions, which is argued to produce more certain error estimates than binning techniques and hence to help toward a better exploitation of expensive simulations. An effective integrated autocorrelation time is computed which is suitable to benchmark efficiencies of simulation algorithms with regard to specific observables of interest. A Matlab code is offered for download that implements the method. It can also combine independent runs (replica) allowing to judge their consistency.
Forward citations
Cited by 8 Pith papers
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The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling
First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).
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Event-Chain Monte Carlo for Yang-Mills SU(N) lattice field theory I : Design and proof of concept
Event-Chain Monte Carlo is formulated and validated for SU(3) Yang-Mills lattice gauge theory, with mean plaquette values matching conventional Monte Carlo on four-dimensional lattices.
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Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions
New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.
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Parallel Tempered Metadynamics for full QCD
In N_f=2 staggered QCD at beta=1.15, PT-MetaD tunnels between topological sectors while RHMC remains frozen, yielding chi_top V = 0.127(33).
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Bounding statistical errors in lattice field theory simulations
Introduces bounds-based stopping criteria and automatic windowing for autocorrelation integrals to estimate statistical errors in lattice field theory Monte Carlo simulations.
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Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory
A hybrid annealer-assisted Metropolis-Hastings method samples 2D lattice phi^4 theory, yet the claimed speedup is not benchmarked against the exact digitized heatbath baseline.
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SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.
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$f_K/f_{\pi}$ in iso-symmetric QCD and the CKM matrix unitarity
Lattice QCD result for f_K/f_π in isoQCD gives |V_us|/|V_ud| consistent with CKM unitarity once isospin and QED effects are included.
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