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

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.

arXiv comment25 pages, 13 figures

References in corpus (4)

• Critical slowing down of topological modes
• Testing trivializing maps in the Hybrid Monte Carlo algorithm
• Finite size scaling in CP(N-1) models
• Improvement of efficiency in generating random $U(1)$ variables with Boltzmann distribution

Cited by in corpus (6)

• Efficient Modelling of Trivializing Maps for Lattice ${\varphi }^4$ Theory Using Normalizing Flows: A First Look at Scalability
• Topological critical slowing down: variations on a toy model
• An exploratory study of heavy domain wall fermions on the lattice
• Worm Algorithm for CP(N-1) Model
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model
• A Worm Algorithm for the Lattice CP(N-1) Model