QCD {beta} function with two flavors of dynamical Wilson fermions

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.3546· OSTI ID:383531

Bitar, K M; Edwards, R G; Heller, U M; Kennedy, A D ^[1]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (United States)

We test the asymptotic scaling behavior of state-of-the-art simulations of QCD with two flavors of light Wilson fermions. This is done by matching {pi} and {rho} masses on lattices of size 16{sup 3}{times}32 and 8{sup 3}{times}16. We find that at {beta}=6/{ital g}{sup 2}=5.3 matching is not possible over a range extending down to {beta}=3.5. The large lattice data at {beta}=5.5 matches the small lattice values at {beta}=4.9(1) leading to a shift {Delta}{beta}=0.6(1), considerably larger than the perturbative prediction of 0.45. In both cases we conclude that the simulations are very far from the asymptotic scaling region. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Florida State University
• DOE Contract Number: FG05-85ER25000; FG05-92ER40742
• OSTI ID: 383531
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FERMIONS
FLAVOR
LATTICE FIELD THEORY
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
RHO-770 MESONS
SCALING
SIMULATION