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

Abstract

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.

Minor corrections. Revtex, 58 pages

References in corpus (6)

• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Breakdown of staggered fermions at nonzero chemical potential
• Lattice fermions with complex mass
• Validity of the Rooted Staggered Determinant in the continuum limit
• Lattice Regularization and Symmetries

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