THE AREA LAW IN MATRIX MODELS FOR LARGENQCD STRINGS

K. N. Anagnostopoulos (), W. Bietenholz () and J. Nishimura ()
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K. N. Anagnostopoulos: Department of Physics, University of Crete, P.O. Box 2208, GR-71003 Heraklion, Greece
W. Bietenholz: Institut für Physik, Humboldt Universität zu Berlin, Invalidenstr. 110, D-10115 Berlin, Germany
J. Nishimura: The Niels Bohr Institute, Blegdamsvej 17, DK-2100 København Ø, Denmark;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 04, 555-563

Abstract: We study the question whether matrix models obtained in the zero volume limit of4dYang–Mills theories can describe largeNQCD strings. The matrix model we use is a variant of the Eguchi–Kawai model in terms of Hermitian matrices, but without any twists or quenching. This model was originally proposed as a toy model of the IIB matrix model. In contrast to common expectations, we do observe the area law for Wilson loops in a significant range of scale of the loop area. Numerical simulations show that this range is stable asNincreases up to 768, which strongly suggests that it persists in the largeNlimit. Hence the equivalence to QCD strings may hold for length scales inside a finite regime.

Keywords: LargeNgauge theory; matrix models; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003334

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