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An Introduction to Bosonization

Name: An Introduction to Bosonization
Creator: David Sénéchal
Keywords: Condensed Matter - Strongly Correlated Electrons, Strongly Correlated Electrons (cond-mat.str-el), 0103 physical sciences, FOS: Physical sciences, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 08 May 2006Embargo end date: 01 Jan 1999Publisher:Springer Science and Business Media LLC

Authors: David Sénéchal;

doi: 10.1007/0-387-21717-7_4 , 10.48550/arxiv.cond-mat/9908262

arXiv: http://arxiv.org/abs/cond-mat/9908262

An Introduction to Bosonization

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Abstract

This is an expanded version of a lecture given at the {\it Workshop on Theoretical Methods for Strongly Correlated Fermions}, held at the {\it Centre de Recherches Math��matiques}, in Montr��al, from May 26 to May 30, 1999. After general comments on the relevance of field theory to condensed matter systems, the continuum description of interacting electrons in 1D is summarized. The bosonization procedure is then introduced heuristically, but the precise quantum equivalence between fermion and boson is also presented. Then the exact solution of the Tomonaga-Luttinger model is carried out. Two other applications of bosonization are then sketched. We end with a quick introduction to non-Abelian bosonization.

39 pages, LaTeX, 7 figures. Lecture given at the CRM workshop on theoretical methods for strongly correlated electrons, Montreal, May 1999

Keywords

Condensed Matter - Strongly Correlated Electrons, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences

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