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

1999/06/15 by V. N. Plechko
Physics and Astronomy · #hep-th #cond-mat.stat-mech #hep-lat

paper · pdf

published as In ``Path Integrals from peV to TeV: 50 Years after Feynman's Paper'', Proceedings of the 6th International Conference on Path Integrals from peV to TeV, August 25--29, 1998, Florence, Italy. Edited by R.Casalbuoni, R.Giachetti, V.Tognetti, R.Vaia and P.Verrucchi (World Scientific, Singapore, 1999) p.137-141 · LaTeX, 5 pages, no figures. A plenary talk at the 6th International Conference on Path Integrals from peV to TeV, August 25--29, 1998, Florence, Italy

arxiv created 1999/06/15 · arxiv updated 2009/11/30

Abstract

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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