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Title: 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 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.

Authors:
 [1]
  1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv (Israel)
Publication Date:
OSTI Identifier:
21020083
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.75.054503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHANNELING; COMPUTERIZED SIMULATION; FERMIONS; LATTICE FIELD THEORY; QUANTUM CHROMODYNAMICS; RENORMALIZATION; SYMMETRY

Citation Formats

Shamir, Yigal. Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.054503.
Shamir, Yigal. Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe. United States. doi:10.1103/PHYSREVD.75.054503.
Shamir, Yigal. Thu . "Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe". United States. doi:10.1103/PHYSREVD.75.054503.
@article{osti_21020083,
title = {Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe},
author = {Shamir, Yigal},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.054503},
journal = {Physical Review. D, Particles Fields},
number = 5,
volume = 75,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}