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Topological and universal aspects of bosonized interacting fermionic systems in 2+1 dimensions

1998/11/09 by Daniel G. Barci, D. G. Barci, L. E. Oxman +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Topological Materials and Phenomena #hep-th

paper · pdf · doi:10.1103/physrevd.59.105012

published as Phys.Rev.D59:105012,1999 · 29 pages, RevTex

arxiv created 1998/11/09 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

General results on the structure of the bosonization of fermionic systems in (2+1) dimensions are obtained. In particular, the universal character of the bosonized topological current is established and applied to generic fermionic current interactions. The final form of the bosonized action is shown to be given by the sum of two terms. The first one corresponds to the bosonization of the free fermionic action and turns out to be cast in the form of a pure Chern-Simons term, up to a suitable nonlinear field redefinition. We show that the second term, following from the bosonization of the interactions, can be obtained by simply replacing the fermionic current by the corresponding bosonized expression.

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