Luttinger's Theorem and Bosonization of the Fermi Surface

Details Luttinger's Theorem and Bosonization of the Fermi Surface Luttinger's Theorem and Bosonization of the Fermi Surface

2005-05-21

arxiv.org/abs/cond-mat/0505529v1

Proceedings of the International School of Physics "Enrico Fermi", Course CXXI "Perspectives in Many-Particle Physics" eds. R.

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 0 figures; A 1993 preprint form of a published but hard-to-find article based on lectures presented at the Internati

Scientific paper

A course of four lectures given at the International School of Physics "Enrico Fermi", Varenna, Italy, July 1992, in which the underlying algebraic structure needed for bosonization of the Fermi surface in two- or three-dimensions was first described. This is an unchanged 1993 preprint version of a published but hard-to-find (and often mis-cited) 1994 article in the Varenna Summer School proceedings. The d > 1 dimensional generalization of the Kac-Moody algebra on the Fermi surface is presented, and the Gaussian reduction of the Fermi liquid to harmonic oscilator modes is derived. One-dimensional bosonization and the symmetries of spin-charge separation are also reviewed.

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