We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2d CpN-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 tau(mag) similar to 7 with z approximate to 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 4d SU(N) lattice gauge theories. (C) 2004 Published by Elsevier B.V.

Critical slowing down of topological modes

VICARI, ETTORE
2004

Abstract

We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2d CpN-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 tau(mag) similar to 7 with z approximate to 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 4d SU(N) lattice gauge theories. (C) 2004 Published by Elsevier B.V.
Del Debbio, L; Manca, Gm; Vicari, Ettore
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/90769
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