Improved determination of the heavy-quark potential in lattice QCD
- California Institute of Technology, Pasadena, California (USA)
A new iterative procedure in fitting data is proposed which can properly correct small nonlinear effects. Applying this procedure to fit the Polyakov loop correlation functions previously obtained in lattice QCD simulations, we are able to eliminate the finite-size boundary effects and obtain the quark potential functions themselves, instead of just parameters for the potentials. The quality of the fits is improved significantly. The potential functions obtained at {beta}=6.0--6.2 scale in fine detail, providing important further support of the scaling. The improved estimates of the string tension satisfy the asymptotic scaling within 97%. In comparison with experiments, the obtained value {radical}{sigma} /{Lambda}{sub {ital L}}=79{plus minus}3 indicates {Lambda}{sub MS}=449{plus minus}17 MeV, where MS denotes the minimal subtraction scheme. The coupling constant {alpha}=0.43{plus minus}0.03 agrees very well with experiments, and is also in excellent agreement with the theoretical value {pi}/8=0.39, assuming that the long-distance behavior of QCD can be effectively described by the Neveu-Schwarz string theory.
- DOE Contract Number:
- FG03-85ER25009
- OSTI ID:
- 5024187
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 44:7; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
QUARKS
POTENTIALS
COUPLING CONSTANTS
GAUGE INVARIANCE
ITERATIVE METHODS
MASS
STRING MODELS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory