Correlators of matrix models on homogeneous spaces Original Research Article

We investigate the correlators of image in matrix models on homogeneous spaces: image and image. Their expectation value is a good order parameter to measure the geometry of the space on which non-commutative gauge theory is realized. They also serve as the Wilson lines which carry the minimum momentum. We develop an efficient procedure to calculate them through 1PI diagrams. We determine the large N scaling behavior of the correlators. The order parameter shows that fuzzy image acquires a 4-dimensional fractal structure in contrast to fuzzy image. We also find that the two point functions exhibit logarithmic scaling violations.