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Metadynamics Surfing on Topology Barriers: the CP^(N-1) Case
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Metadynamics Surfing on Topology Barriers: the CP^(N-1) Case
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As one approaches 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, when used to simulate $CP^{N-1}$, allows to address efficiently this problem. By studying $CP^{20}$ we show that we are able to reconstruct the free energy of the topological charge $F(Q)$ and compute the topological susceptibility 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. This method can in principle be extended to $QCD$ applications.
Forward citations
Cited by 2 Pith papers
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Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.
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Enhanced Sampling Techniques for Lattice Gauge Theory
Metadynamics bias potentials and volume-extrapolation strategies reduce integrated autocorrelation times of topological charge in lattice gauge theories.
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