Date of Award

1-1-2012

Language

English

Document Type

Master's Thesis

Degree Name

Master of Science (MS)

College/School/Department

Department of Physics

Content Description

1 online resource (v, 56 pages) : illustrations (some color)

Dissertation/Thesis Chair

Oleg Lunin

Committee Members

Ariel Caticha, John Kimball

Keywords

applications, bosonization, Conformal field theory, correlation functions, fermion, Ising model, Conformal mapping, Fermions

Subject Categories

Physics

Abstract

The two-dimensional Ising model was originally solved by Onsager using statistical physics techniques. More recently, it has been found that the derivation of critical exponents and correlation functions can be greatly simplified by using the methods of Conformal Field Theory (CFT). We review these methods and apply them to the two-dimensional Ising model. The connection between the continuum limit Ising model and the field theory of free fermions is explained, resulting in a CFT on the plane with two non-trivial fields. Through the use of bosonization on the plane, the free-field correlation functions of the model are computed.

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