Fermionic Path Integrals and Analytic Solutions for Two-Dimensional Ising Models

摘要

The notion of the integral over the anticommuting Grassmann variables(nonquantum fermionic fields) seems to be the most powerful tool in order toextract the exact analytic solutions for the 2D Ising models on simple and morecomplicated lattices, which is the subject of a discussion in this report.