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

Yigal Shamir
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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.

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Yigal Shamir. 2007-03-20. Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe. https://doi.org/10.1103/physrevd.75.054503

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