Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach

Details Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach

2004-12-08

arxiv.org/abs/hep-lat/0412014v1

Phys.Rev. D71 (2005) 034509

Physics

High Energy Physics

High Energy Physics - Lattice

latex, 13 pages

Scientific paper

10.1103/PhysRevD.71.034509

Consistency of present-day lattice QCD simulations with dynamical (``sea'') staggered fermions requires that the determinant of the staggered-fermion Dirac operator, $det(D)$, be equal to $det^4(D_{rg}) det(T)$ where $D_{rg}$ is a local one-flavor lattice Dirac operator, and $T$ is a local operator containing only excitations with masses of the order of the cutoff. Using renormalization-group (RG) block transformations I show that, in the limit of infinitely many RG steps, the required decomposition exists for the free staggered operator in the ``flavor representation.'' The resulting one-flavor Dirac operator $D_{rg}$ satisfies the Ginsparg-Wilson relation in the massless case. I discuss the generalization of this result to the interacting theory.

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