The Area Law in Matrix Models for Large N QCD Strings

Details The Area Law in Matrix Models for Large N QCD Strings The Area Law in Matrix Models for Large N QCD Strings

2001-12-19

arxiv.org/abs/hep-lat/0112035v1

Int.J.Mod.Phys. C13 (2002) 555-564

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 4 figures

Scientific paper

10.1142/S0129183102003334

We study the question whether matrix models obtained in the zero volume limit of 4d Yang-Mills theories can describe large N QCD 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 as N increases up to 768, which strongly suggests that it persists in the large N limit. Hence the equivalence to QCD strings may hold for length scales inside a finite regime.

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