Grassmann Path Integral Approach to Two-Dimensional Percolation Near the Critical Point
The concept of percolation is a fundamental one in the physics of disordered systems and has been discussed at length at this Institute. Over the last decade, a consistent theory of percolation has emerged, borrowing heavily from the familiar description of critical phenomena. In particular, in two dimensions (2D) a small set of plausible assumptions has led to a conjectured exact theory for the asymptotic behaviour near the percolation threshold, pc. Central amongst these is the assumption that the critical singularities are in the form of power laws.
KeywordsIsing Model Percolation Threshold Critical Phenomenon Critical Line Critical Singularity
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