Two-dimensional Quantum Field Models (with applications to Statistical Mechanics)

Two dimensional toy models display, in a gentler setting, manysalient aspects of Quantum Field Theory. Here I discuss a concrete two dimensional case, the Thirring model, which illustrates several important concepts of this theory: the anomalous dimension of the fields; the exact solvability; the an...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Author: Falco, Pierluigi
Format: Article
Language:English
Subjects:
Anomalies
Correlation analysis
Field theory
Quantum field theory
Quantum theory
Statistical mechanics
Two dimensional models
Online Access:Get full text
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Summary:Two dimensional toy models display, in a gentler setting, manysalient aspects of Quantum Field Theory. Here I discuss a concrete two dimensional case, the Thirring model, which illustrates several important concepts of this theory: the anomalous dimension of the fields; the exact solvability; the anomalies of the Ward-Takahashi identities. Besides, I give a glimpse of the decisive role that this model plays in the study of an apparently unrelated topic: correlation critical exponents of two dimensional lattice systems of Statistical Mechanics.
ISSN:2331-8422