Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
- 15 March 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 75 (5) , 054503
- https://doi.org/10.1103/physrevd.75.054503
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 nonlocal effects in the fourth-root theory when the lattice spacing is nonzero, 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.Keywords
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