Topological sampling through windings

@article{Albandea2021TopologicalST,
  title={Topological sampling through windings},
  author={David Albandea and Pilar Hern'andez and Alberto Ramos and Fernando Romero-L'opez},
  journal={The European Physical Journal C},
  year={2021}
}
We propose a modification of the Hybrid Monte Carlo (HMC) algorithm that overcomes the topological freezing of a two-dimensional U(1) gauge theory with and without fermion content. This algorithm includes reversible jumps between topological sectors – winding steps – combined with standard HMC steps. The full algorithm is referred to as winding HMC (wHMC), and it shows an improved behaviour of the autocorrelation time towards the continuum limit. We find excellent agreement between the wHMC… 
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