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

2012/08/31 by Pierluigi Falco, Falco, Pierluigi
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications #Theoretical and Computational Physics #hep-th #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1208.6568

10 pages; International Conference on Mathematical Physics 2012 - Topical Section: Quantum Field Theory

openalex publication_date 2012/08/31 · arxiv created 2013/04/16 · arxiv updated 2013/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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