Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Bosonisation as The Hubbard-Stratonovich Transformation

I. V. Yurkevich

Published Jan 1, 2002• 7 citations
Publisher
DOI
10.1007/978-94-010-0530-2_4

Related papers

Hubbard-Stratonovich transformations

Lecture notes in physics. M, Monographs•Jan 1, 1997•1 citation

THE HUBBARD-STRATONOVICH TRANSFORMATION AND THE HUBBARD MODEL

Sandro Sorella

Series on advances in statistical mechanics•Jul 1, 1991•0 citations

Hyperbolic Hubbard-Stratonovich transformations and bosonisation of granular fermionic systems

Jakob Müller-Hill

The present work consists of two parts. The first part deals with hyperbolic Hubbard-Stratonovich transformations. Such transformations are used to derive non-linear sigma models that describe the low energy behaviour of disordered electron systems. For a long time the mathematical status of hyperbolic Hubbard-Stratonovich transformations of Pruisken-Schäfer type remained unclear. Only recently the two special cases of pseudounitary and pseudoorthogonal symmetry were proven . In this thesis we prove the transformation for a general (essentially semisimple) symmetry group. The proof is descriptive and shows explicitly the connection to the standard Gaussian integrals. In the second part we develop a novel method to bosonise granular fermionic systems. The method is related to the method of coherent states. In particular it is not based on the well known bosonisation of (1+1)-dimensional systems. One approach is to use the colour-flavour transformation to transform the Grassmann path integral representation of a grand canonical partition function in a way that allows to eliminate the Grassmann variables. The result is a path integral in generalised coherent states with special boundary conditions.

•Jan 1, 2009•0 citations

Bosonisation as the Hubbard-Stratonovich Transformation

I. Yurkevich

The purpose of this Lecture is to demonstrate how the well-known results on Luttinger Liquid can be obtained with the use of the coherent state integral.

arXiv:cond-mat/0112270•Dec 14, 2001•1 citation

A general approach to bosonization

Girish S. Setlur, V. Meera

arXiv:cond-mat/0701317•Pramana•Oct 1, 2007•1 citation

The Hubbard-Stratonovich Transformation and Exchange Boson Contributions

Nguyen Van Hoa, Nguyen Tri Lan

The Hubbard - Stratonovich transformation of many - body theory is reconsidered in various versions. Learning from its failures in coping with competing channels of collective phenomena, a combined Hubbard - Stratonovich transformation is proposed to overcome these difficulties. That yields a variety of fluctuating bosonic quantum fields describing the competition of different phases in the system under consideration. As a consequence of results, the validity of the Hubbard - Stratonovich transformation and its relation to a given order parameter are discussed.

Journal of Physics Conference Series•Sep 23, 2014•1 citation
The present work consists of two parts. The first part deals with hyperbolic Hubbard-Stratonovich transformations. Such transformations are used to derive non-linear sigma models that describe the low energy behaviour of disordered electron systems. For a long time the mathematical status of hyperbolic Hubbard-Stratonovich transformations of Pruisken-Schäfer type remained unclear. Only recently the two special cases of pseudounitary and pseudoorthogonal symmetry were proven . In this thesis we prove the transformation for a general (essentially semisimple) symmetry group. The proof is descriptive and shows explicitly the connection to the standard Gaussian integrals. In the second part we develop a novel method to bosonise granular fermionic systems. The method is related to the method of coherent states. In particular it is not based on the well known bosonisation of (1+1)-dimensional systems. One approach is to use the colour-flavour transformation to transform the Grassmann path integral representation of a grand canonical partition function in a way that allows to eliminate the Grassmann variables. The result is a path integral in generalised coherent states with special boundary conditions.
The Hubbard - Stratonovich transformation of many - body theory is reconsidered in various versions. Learning from its failures in coping with competing channels of collective phenomena, a combined Hubbard - Stratonovich transformation is proposed to overcome these difficulties. That yields a variety of fluctuating bosonic quantum fields describing the competition of different phases in the system under consideration. As a consequence of results, the validity of the Hubbard - Stratonovich transformation and its relation to a given order parameter are discussed.