From Spin Ladders to the 2-d O(3) Model at Non-Zero Density
High Energy Physics - Lattice
2009-11-07 v1
Abstract
The numerical simulation of various field theories at non-zero chemical potential suffers from severe complex action problems. In particular, QCD at non-zero quark density can presently not be simulated for that reason. A similar complex action problem arises in the 2-d O(3) model -- a toy model for QCD. Here we construct the 2-d O(3) model at non-zero density via dimensional reduction of an antiferromagnetic quantum spin ladder in a magnetic field. The complex action problem of the 2-d O(3) model manifests itself as a sign problem of the ladder system. This sign problem is solved completely with a meron-cluster algorithm.
Keywords
Cite
@article{arxiv.hep-lat/0110215,
title = {From Spin Ladders to the 2-d O(3) Model at Non-Zero Density},
author = {S. Chandrasekharan and B. Scarlet and U. -J. Wiese},
journal= {arXiv preprint arXiv:hep-lat/0110215},
year = {2009}
}
Comments
Based on a talk by U.-J. Wiese, 6 pages, 12 figures, to be published in computer physics communications