Running coupling and the [Lambda] parameter from SU(3) lattice simulations

Journal Article · Fri Jan 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.661· OSTI ID:6943405

Bali, G S; Schilling, K ^[1]

---

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

We present new results on the static [ital q[bar q]] potential from high-statistics simulations on 32[sup 4] and smaller lattices, using the standard Wilson action at [beta]=6.0, 6.4, and 6.8 on the Connection Machine CM-2. Within our statistical errors ([approx]1%) we do not observe any finite-size effects affecting the potential values, on varying the spatial lattice extent from 0.9 fm up to 3.3 fm. We are able to see and quantify the running of the coupling from the Coulomb behavior of the interquark force. From this we extract the ratio [radical][sigma] /[Lambda][sub [ital L]]. We demonstrate that scaling violations on the string tension can be considerably reduced by introducing effective coupling schemes, which allow for a safe extrapolation of [Lambda][sub [ital L]] to its continuum value. Both methods yield consistent values for [Lambda]: [Lambda][sub M[bar S]]=0.555[sub [minus]0.017][sup +0.019][times] [radical][sigma] =244[sub [minus]7][sup +8] MeV, where M[bar S] denotes the modified minimal subtraction scheme. At the highest-energy scale attainable to us we find [alpha](5 GeV)=0.150(3).

• OSTI ID: 6943405
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 47:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
COUPLING CONSTANTS
COULOMB FIELD
MONTE CARLO METHOD
PERTURBATION THEORY
PHASE SPACE
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
SIMULATION
STATISTICAL MODELS
STRING MODELS
SU-2 GROUPS
SU-3 GROUPS
CALCULATION METHODS
COMPOSITE MODELS
ELECTRIC FIELDS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE INTERACTIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
SU GROUPS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662340 - Hadron Interactions- (1992-)