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

2015/04/23 by J. M. Flynn, Andreas Jüttner, Flynn, Jonathan +5 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1504.06292

openalex publication_date 2015/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• A Worm Algorithm for the Lattice CP(N-1) Model

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