Metadynamics Surfing on Topology Barriers: the CP(N-1) Case
Authors:
- Alessandro LaioALAlessandro Laio
- Guido MartinelliGMGuido Martinelli
- Francesco SanfilippoFSFrancesco Sanfilippo
Preprint
Abstract
In the continuum limit, QCD systems, investigated via numerical simulations, remain trapped in sectors of field space with fixed topological charge. As a consequence the numerical studies of physical quantities may give biased results. The same is true in the case of two dimensional CP(N-1) models. In this paper we show that Metadynamics, applied to CP(N-1), allows to bypass very efficiently this problem. In particular we show, for the first time, that we are able to reconstruct the free energy of the topological charge, F(Q), as a function of the coupling and of the volume. This is a very important physical quantity in studies of the dynamics of the theta-vacuum and of the axion. The method can be easily extended to QCD.Keywords
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- Metadynamics: a method to simulate rare events and reconstruct the free energy in biophysics, chemistry and material scienceReports on Progress in Physics, 2008