Static quark-antiquark potential: Scaling behavior and finite-size effects in SU(3) lattice gauge theory

Journal Article · Tue Sep 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.2636· OSTI ID:7084121

Bali, G S; Schilling, K ^[1]

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1. Physics Department, Bergische Universitaet, Gesamthochschule Wuppertal, Gauss Strasse 20, 5600 Wuppertal (Germany)

We present results on the static {ital q{bar q}} potential from high-statistics simulations on 16{sup 4}, 24{sup 3}{times}32, and 32{sup 4} lattices, using the standard Wilson action at {beta}=6.0, 6.2, and 6.4 on the Connection Machine CM2. To decrease noise and increase accuracy, we applied a suitable local smoothing technique on the spatial parts of Wilson loop operators. As a result, we find a violation of asymptotic scaling of the string tension, as signaled by {radical}{sigma} /{Lambda}{sub {ital L}}=96.7(1.6)(2.6), 86.4(1.0)(1.9), 82.3(0.8)(1.7), for the three {beta} values, with statistical and systematic errors. We observe a linear confining potential up to distances of 2 fm. A volume of (1.5 fm){sup 3} appears to be sufficient to avoid finite-size effects within our statistical accuracy ({approx}1%).

• OSTI ID: 7084121
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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662340 -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
CORRELATION FUNCTIONS
EUCLIDEAN SPACE
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATRIX ELEMENTS
MECHANICS
PARTICLE INTERACTIONS
PARTICLE MODELS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
RIEMANN SPACE
SCALING LAWS
SIMULATION
SPACE
STATISTICAL MECHANICS
STRING MODELS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS
WILSON LOOP