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Precision study of critical slowing down in lattice simulations of the CP^{N-1} model

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abstract

With the aim of studying the relevance and properties of critical slowing down in Monte Carlo simulations of lattice quantum field theories we carried out a high precision numerical study of the discretised two-dimensional CP^{N-1} model at N=10 using an over-heat bath algorithm. We identify critical slowing down in terms of slowly-evolving topological modes and present evidence that other observables couple to these slow modes. This coupling is found to reduce however as we increase the physical volume in which we simulate.

fields

hep-lat 1

years

2025 1

verdicts

UNVERDICTED 1

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  • Bounding statistical errors in lattice field theory simulations hep-lat · 2025-06-19 · unverdicted · none · ref 52 · internal anchor

    Introduces bounds-based stopping criteria and automatic windowing for autocorrelation integrals to estimate statistical errors in lattice field theory Monte Carlo simulations.