Quantum Diffusion Process with a Complex Weight on Three Dimensional Lattice

Masako Asano; Chigak Itoi; Shin-Ichi Kojima

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arXiv · hep-th/9410090

Quantum Diffusion Process with a Complex Weight on Three Dimensional Lattice

Masako Asano·Chigak Itoi·Shin-Ichi Kojima

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Abstract

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.

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Masako Asano, Chigak Itoi, Shin-Ichi Kojima. 1994-10-13. Quantum Diffusion Process with a Complex Weight on Three Dimensional Lattice. https://arxiv.org/abs/hep-th/9410090

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