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

Journal Article · Thu Mar 01 00:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.054503· OSTI ID:21020083

Shamir, Yigal ^[1]

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1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv (Israel)

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.

• OSTI ID: 21020083
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 5; Other Information: DOI: 10.1103/PhysRevD.75.054503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHANNELING
COMPUTERIZED SIMULATION
FERMIONS
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SYMMETRY