Free Fermions and Two-Dimensional Ising Model

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The two-dimensional Ising model is representable as a lattice free-fermion field theory in terms of the integral over anticommuting Grassmann variables. The exact solution in a zero magnetic field then follows by evaluating Gaussian fermionic integral for partition function. It is argued that by switching on of a non-zero magnetic field the non-local and non-Gaussian fermionic terms appear in the action, which rather imply approximating methods of the analysis.
LaTeX, 6 pages, no figures

Keywords

Mathematical Physics, Statistical Mechanics, High Energy Physics - Lattice, High Energy Physics - Theory, 82B20; 82B10; 82B26

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/57905

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0411084
 http://arxiv.org/abs/math-ph/0411084
 Proceedings of XXIII International Colloquium on Group Theoretical Methods in Physics, July 31--Aug 5, 2000, Dubna, Russia. Edited by A.N.Sissakian, G.S.Pogosyan and L.G.Mardoyan, Vol.2, (JINR Publ., Dubna, 2002), p.557--562

Collections

arXiv