Fourth root prescription for dynamical staggered fermions
Adams, David H.
Date of Issue2005
School of Physical and Mathematical Sciences
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 (detD staggered ) 1/4 =detD . Working in the flavor 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 a localization range vanishing ∼√ a/m for lattice spacing a→0 . Prospects for the interacting case are also discussed, although we do not solve this case here.
Physical and Mathematical Sciences
Physical review D
© 2005 The American Physical Society. This paper was published in Physical Review D and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevD.72.114512. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.