Bosonisation as The Hubbard-Stratonovich transformation

Yurkevich, I.V. (2002). Bosonisation as The Hubbard-Stratonovich transformation. IN: Strongly correlated fermions and bosons in low-dimensional disordered systems. Lerner, I.V.; Althsuler, B.L.; Fal'ko, V.I. and Giamarchi, T. (eds) NATO science series II : Mathermatics, physics and chemistry . London (UK): Springer.

Abstract

The problem of strongly correlated electrons in one dimension attracted attention of condensed matter physicists since early 50’s. After the seminal paper of Tomonaga [1] who suggested the first soluble model in 1950, there were essential achievements reflected in papers by Luttinger [2] (1963) and Mattis and Lieb [3] (1963). A considerable contribution to the understanding of generic properties of the 1D electron liquid has been made by Dzyaloshinskii and Larkin [4] (1973) and Efetov and Larkin [5] (1976). Despite the fact that the main features of the 1D electron liquid were captured and described by the end of 70’s, the investigators felt dissatisfied with the rigour of the theoretical description. The most famous example is the paper by Haldane [6] (1981) where the author developed the fundamentals of a modern bosonisation technique, known as the operator approach. This paper became famous because the author has rigourously shown how to construct the Fermi creation/anihilation operators out of the Bose ones. The most recent example of such a dissatisfaction is the review by von Delft and Schoeller [7] (1998) who revised the approach to the bosonisation and came up with what they called constructive bosonisation.

Publication DOI: https://doi.org/10.1007/978-94-010-0530-2_4
Divisions: Engineering & Applied Sciences > Mathematics
Additional Information: Proceedings of the NATO Advanced Study Institute on Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems
Event Title: NATO Advanced Study Institute on Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems
Event Type: Other
Event Dates: 2001-08-13 - 2001-08-26
Full Text Link: http://link.spr ... 94-010-0530-2_4
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Published Date: 2002-07-31
Authors: Yurkevich, I.V. ( 0000-0003-1447-8913)

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