Metadynamics Surfing on Topology Barriers: the $CP^{N-1}$ Case

Understand

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.