Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
Abstract
The Prokof'ev Svistunov worm algorithm was originally developed for models with nearest neighbor interactions that in a high temperature expansion are mapped to systems of closed loops. In this work we present the surface worm algorithm (SWA) which is a generalization of the worm algorithm concept to abelian Gauge-Higgs models on a lattice which can be mapped to systems of surfaces and loops (dual representation). Using Gauge-Higgs models with gauge groups Z(3) and U(1) we compare the SWA to the conventional approach and to a local update in the dual representation. For the Z(3) case we also consider finite chemical potential where the conventional representation has a sign problem which is overcome in the dual representation. For a wide range of parameters we find that the SWA clearly outperforms the local update.
Cite
@article{arxiv.1211.3436,
title = {Surface worm algorithm for abelian Gauge-Higgs systems on the lattice},
author = {Ydalia Delgado and Christof Gattringer and Alexander Schmidt},
journal= {arXiv preprint arXiv:1211.3436},
year = {2013}
}
Comments
32 pages; appendix added; revised version published in Comput.Phys.Commun