Strong coupling expansion in random lattice gauge systems and interacting gaussian surfaces

Abstract

We present a strong coupling study for a pure gauge random system, where the interactions are cut off using a gaussian form factor (the nearest-neighbour concept is not used). Double series in the inverse Yang-Mills coupling and in the density are obtained. We focus here on the SU(2) four-dimensional system. High and low density regions are investigated. We find that the high density limit is identical to recently proposed models of gaussian random surfaces, while finite density corrections introduce interactions between these surfaces, depending on the gauge group. Comparison with a Monte Carlo analysis is performed in the medium density region. We finally propose a phase diagram for this two-parameter model.