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 such that . Working in the flavor field representation we show that in the free field case there is a simple and natural candidate satisfying this relation, and we show that it has acceptable locality behavior: exponentially local with a localization range vanishing for lattice spacing . Prospects for the interacting case are also discussed, although we do not solve this case here.
- Received 10 September 2005
DOI:https://doi.org/10.1103/PhysRevD.72.114512
©2005 American Physical Society