Two-dimensional quantum field models (with applications to lattice statistical mechanics)

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Publication:2929315

DOI10.1142/9789814449243_0065zbMATH Open1302.81130arXiv1208.6568OpenAlexW4237538064MaRDI QIDQ2929315

Author name not available (Why is that?)

Publication date: 11 November 2014

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1208.6568



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