Free Fermions and Two-Dimensional Ising Model

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dc.creatorPlechko, V. N.
dc.date2004-11-29
dc.date.accessioned2026-07-07T04:31:41Z
dc.date.available2026-07-07T04:31:41Z
dc.descriptionThe 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.
dc.descriptionLaTeX, 6 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0411084
dc.identifierhttp://arxiv.org/abs/math-ph/0411084
dc.identifierProceedings 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
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57905
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subject82B20; 82B10; 82B26
dc.titleFree Fermions and Two-Dimensional Ising Model
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