English

Subset method for one-dimensional QCD

High Energy Physics - Lattice 2013-10-25 v2

Abstract

We present a subset method which solves the sign problem for QCD at nonzero quark chemical potential in 0+1 dimensions. The subsets gather gauge configurations based on the center symmetry of the SU(3) group. We show that the sign problem is solved for one to five quark flavors and that it slowly reappears for a larger number of flavors. We formulate an extension of the center subsets that solves the sign problem for a larger number of flavors as well. We also derive some new analytical results for this toy model.

Cite

@article{arxiv.1307.1416,
  title  = {Subset method for one-dimensional QCD},
  author = {Jacques Bloch and Falk Bruckmann and Tilo Wettig},
  journal= {arXiv preprint arXiv:1307.1416},
  year   = {2013}
}

Comments

29 pages, 12 figures; references added, as published in JHEP

R2 v1 2026-06-22T00:45:45.783Z