2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54016A rigorous definition of a path integral for a spinning particle in three dimensions is given on a regular cubic lattice. The critical diffusion constant and the associated critical exponents in each spin are calculated. Continuum field theories such as Klein-Gordon, Dirac and massive Chern-Simons theories are constructed near these critical points. The universality of obtained results is argued on some other lattices.7 pages, LaTeX, TIT/HEP--267, NUP-A-94-18High Energy Physics - TheoryCondensed MatterHigh Energy Physics - Latticetext