Critical slowing down of topological modes

Luigi Del Debbio; Gian Mario Manca; Ettore Vicari

doi:10.1016/j.physletb.2004.05.038

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arXiv · hep-lat/0403001

Critical slowing down of topological modes

Luigi Del Debbio·Gian Mario Manca·Ettore Vicari

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Abstract

We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2-d CP^(N-1) models. We show that the topological modes experience a critical slowing down that is much more severe than the one of the quasi-Gaussian modes relevant to the magnetic susceptibility, which is characterized by $τ_{\rm mag} \sim ξ^z$ with $z\approx 2$. We argue that this may be a general feature of Monte Carlo simulations of lattice theories with non-trivial topological properties, such as QCD, as also suggested by recent Monte Carlo simulations of 4-d SU(N) lattice gauge theories.

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Luigi Del Debbio, Gian Mario Manca, Ettore Vicari. 2004-03-01. Critical slowing down of topological modes. https://doi.org/10.1016/j.physletb.2004.05.038

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