Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe

Details Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe

2006-07-06

arxiv.org/abs/hep-lat/0607007v4

Phys.Rev.D75:054503,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Minor corrections. Revtex, 58 pages

Scientific paper

10.1103/PhysRevD.75.054503

I develop a renormalization-group blocking framework for lattice QCD with staggered fermions. Under plausible, and testable, assumptions, I then argue that the fourth-root recipe used in numerical simulations is valid in the continuum limit. The taste-symmetry violating terms, which give rise to non-local effects in the fourth-root theory when the lattice spacing is non-zero, vanish in the continuum limit. A key role is played by reweighted theories that are local and renormalizable on the one hand, and that approximate the fourth-root theory better and better as the continuum limit is approached on the other hand.

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