Multidimensional Bosonization

A. Houghton; H.-J. Kwon; J. B. Marston

Multidimensional Bosonization

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arxiv cond-mat/9810388 v2 pith:FNYXT5SK submitted 1998-10-29 cond-mat.str-el cond-mat.mes-hallcond-mat.supr-conhep-th

Multidimensional Bosonization

A. Houghton , H.-J. Kwon , J. B. Marston This is my paper

classification cond-mat.str-el cond-mat.mes-hallcond-mat.supr-conhep-th

keywords bosonizationlandauliquidsmultidimensionaltheoryferminon-fermiapplicability

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Bosonization of degenerate fermions yields insight both into Landau Fermi liquids, and into non-Fermi liquids. We begin our review with a pedagogical introduction to bosonization, emphasizing its applicability in spatial dimensions greater than one. After a brief historical overview, we present the essentials of the method. Well known results of Landau theory are recovered, demonstrating that this new tool of many-body theory is robust. Limits of multidimensional bosonization are tested by considering several examples of non-Fermi liquids, in particular the composite fermion theory of the half-filled Landau level. Nested Fermi surfaces present a different challenge, and these may be relevant in the cuprate superconductors. We conclude by discussing the future of multidimensional bosonization.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Critical theory of Pomeranchuk transitions via high-dimensional bosonization
cond-mat.str-el 2025-11 conditional novelty 7.0

The 2D Pomeranchuk transition is controlled by a Gaussian fixed point with dynamical exponent z=2 and a marginally irrelevant quartic term, not by the Hertz-Millis z=3 theory.