Smooth Paths on Three Dimensional Lattice
arXiv:hep-th/9406123 · doi:10.1103/PhysRevLett.73.3335
Abstract
A particular class of random walks with a spin factor on a three dimensional cubic lattice is studied. This three dimensional random walk model is a simple generalization of random walk for the two dimensional Ising model. All critical diffusion constants and associated critical exponents are calculated. Continuum field theories such as Klein-Gordon, Dirac and massive Chern-Simons theories are constructed near several critical points.
7 pages,NUP-A-94-9