English

On the fourth root prescription for dynamical staggered fermions

High Energy Physics - Lattice 2009-11-10 v3

Abstract

With the aim of resolving theoretical issues associated with the fourth root prescription for dynamical staggered fermions in Lattice QCD simulations, we consider the problem of finding a viable lattice Dirac operator D such that (det D_{staggered})^{1/4} = det D. Working in the flavour field representation we show that in the free field case there is a simple and natural candidate D satisfying this relation, and we show that it has acceptable locality behavior: exponentially local with localisation range vanishing ~ (a/m)^{1/2} for lattice spacing a -> 0. Prospects for the interacting case are also discussed, although we do not solve this case here.

Cite

@article{arxiv.hep-lat/0411030,
  title  = {On the fourth root prescription for dynamical staggered fermions},
  author = {David H. Adams},
  journal= {arXiv preprint arXiv:hep-lat/0411030},
  year   = {2009}
}

Comments

29 pages, 2 figures; some revision and streamlining of the discussions; results unchanged; to appear in PRD