Random walk construction of spinor fields on a threedimensional lattice
Abstract
Euclideaninvariant KleinGordon, Dirac and massive ChernSimons field theories are constructed in terms of a random walk with a spin factor on a threedimensional lattice. We exactly calculate the free energy and the correlation functions which allow us to obtain the critical diffusion constant and associated critical exponents. It is pointed out that these critical exponents do not satisfy the hyperscaling relation but the scaling inequalities. We take the continuum limit of this theory on the basis of these analyses. We check the universality of the obtained results on other lattice structures such as the triclinic lattice and the bodycentered lattice.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)002943
 arXiv:
 arXiv:hepth/9412215
 Bibcode:
 1995NuPhB.448..533A
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter;
 High Energy Physics  Lattice
 EPrint:
 30 pages, LaTeX, 8 ps figures included