HEAVY QUARK POTENTIAL IN LATTICE QCD: A REVIEW OF RECENT PROGRESS AT CALTECH

H.-Q. Ding
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H.-Q. Ding: Concurrent Computation Program and Physics Department, California Institute of Technology, Pasadena, CA 91125, U.S.A.

International Journal of Modern Physics C (IJMPC), 1991, vol. 02, issue 02, 637-658

Abstract: Recent progress on the calculation of the$q\bar{q}$– potential is reviewed. Scaling is discussed from the perspective of critical phenomenon. Methods for fitting the correlations of Polyakov operators and the Wilson loops are reviewed and two new methods, the iterative method and the improved ratio method, are discussed in detail. These new methods are used to analyze/re-analyze the previously published data on Polyakov loops and new data on large Wilson loops. Convincing numerical evidences together with several analytical arguments strongly support the conclusion that the asymptotic scaling sets in atβ~6with${{\sqrt \sigma } \mathord{\left/ {\vphantom {{\sqrt \sigma } {\Lambda _L = 79 \pm 3}}} \right. \kern-\nulldelimiterspace} {\Lambda _L = 79 \pm 3}}$andα=0.43±0.03. These results agree well with the potential model analysis of experimental data on$c\bar{c}$and$b\bar{b}$systems, and favors the Neveu-Schwarz strings as the underlying string theory. Finally, key issues on the use of the parallel computers are explored, with the conclusion that parallel computers are highly suitable for these floating-point intensive computations.

Keywords: Lattice QCD; Quark Potential; Asymptotic Scaling; String Theory; Data Fitting; Parallel Computing (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1142/S0129183191000937

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