Interpreting Numerical Measurements in Fixed Topological Sectors
Abstract
For quantum field theories with topological sectors, Monte Carlo simulations on fine lattices tend to be obstructed by an extremely long auto-correlation time with respect to the topological charge. Then reliable numerical measurements are feasible only within individual sectors. The challenge is to assemble such restricted measurements in a way that leads to a substantiated approximation to the fully fledged result, which would correspond to the correct sampling over the entire set of configurations. We test an approach for such a topological summation, which was suggested by Brower, Chandrasekharan, Negele and Wiese. Under suitable conditions, energy levels and susceptibilities can be obtained to a good accuracy, as we demonstrate for O(N) models, SU(2) Yang-Mills theory, and for the Schwinger model.
Cite
@article{arxiv.1603.05630,
title = {Interpreting Numerical Measurements in Fixed Topological Sectors},
author = {Wolfgang Bietenholz and Christopher Czaban and Arthur Dromard and Urs Gerber and Christoph P. Hofmann and Héctor Mejía-Díaz and Marc Wagner},
journal= {arXiv preprint arXiv:1603.05630},
year = {2016}
}
Comments
43 pages, LaTex, 12 figures, 10 tables, an appendix and some references were added, final version published in Phys. Rev. D