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

Preprint

20 March 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/0607007

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.

Keywords

STAGGERED FERMION QCD
RENORMALIZATION GROUP
NUMERICAL SIMULATIONS
FOURTH ROOT
LATTICE QCD
HAND

All Related Versions

Version 1, 2006-07-06, ArXiv
Version 2, 2006-07-16, ArXiv
Version 3, 2006-12-12, ArXiv
Version 4, 2007-03-20, ArXiv
Published version: Physical Review D, 75 (5), 054503.

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