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

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