Maths HEP Lunchtime Seminars: "Self-avoiding walks, branched polymers, confinement, supersymmetry and dimensional reduction."
10 May 2002 00:00 in CM221
"Self-avoiding walks are fractal objects in the plane. When coupled to a confining gauge potential they collapse into other objects called branched polymers. Following earlier suggestions of Parisi and Sourlas, it has recently been shown that these possess a supersymmetry which is responsible for dimensional reduction and allows many exact results to be derived. Working backwards, we deduce some properties of self-avoiding walks in two dimensions, for example the fractal dimension 4/3."