Smooth Paths on Three Dimensional Lattice

Details Smooth Paths on Three Dimensional Lattice Smooth Paths on Three Dimensional Lattice

1994-06-18

arxiv.org/abs/hep-th/9406123v1

Phys.Rev.Lett. 73 (1994) 3335-3338

Physics

High Energy Physics

High Energy Physics - Theory

7 pages,NUP-A-94-9

Scientific paper

10.1103/PhysRevLett.73.3335

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.

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