1994/10/13 by Masako Asano, Chigak Itoi, Asano, Masako +4
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Spectral Theory in Mathematical Physics #advanced mathematical theories #cond-mat #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9410090
7 pages, LaTeX, TIT/HEP--267, NUP-A-94-18
arxiv created 1994/10/13 · openalex publication_date 1994/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A 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.