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The Area Law in Matrix Models for Large N QCD Strings

K. N. Anagnostopoulos·W. Bietenholz·J. Nishimura
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Abstract

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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K. N. Anagnostopoulos, W. Bietenholz, J. Nishimura. 2001-12-19. The Area Law in Matrix Models for Large N QCD Strings. https://doi.org/10.1142/s0129183102003334

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