Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder

Details Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder

1999-06-15

arxiv.org/abs/hep-th/9906107v1

In ``Path Integrals from peV to TeV: 50 Years after Feynman's Paper'', Proceedings of the 6th International Conference on Path

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 5 pages, no figures. A plenary talk at the 6th International Conference on Path Integrals from peV to TeV, August 25--2

Scientific paper

The notion of the integral over the anticommuting Grassmann variables is applied to analyze the fermionic structure of the 2D Ising model with quenched site dilution. In the $N$-replica scheme, the model is explicitly reformulated as a theory of interacting fermions on a lattice. For weak dilution, the continuum-limit approximation implies the log-log singularity in the specific heat near $T_c$.

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