The Area Law in Matrix Models for Large N QCD Strings
arXiv:hep-lat/0112035 · doi:10.1142/S0129183102003334
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.
12 pages, 4 figures
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- A Non-Perturbative Study of Gauge Theory on a Non-Commutative Plane
- Progress in the numerical studies of the type IIB matrix model
- Convergence of the Gaussian Expansion Method in Dimensionally Reduced Yang-Mills Integrals
- Testing the Gaussian expansion method in exactly solvable matrix models
- Polyakov Lines in Yang-Mills Matrix Models
- Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
- Lattice Superstring and Noncommutative Geometry