# Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model

## Abstract

A geometrical non-Abelian bosonization for the Fermi surface excitations is constructed. We introduce a unitary operator which generates the deformation of the Fermi surface which obeys non-Abelian Kac-Moody-Poisson brackets. We study the Hubbard model for {ital d}{ge}1, the charge part is a Fermi liquid at finite temperature and a Luttinger liquid for {ital d}=1 at {ital T}=0. The spin part is described by an 0(3) nonlinear sigma model. {copyright} {ital 1996 The American Physical Society.}

- Authors:

- Department of Physics, City College of the City University of New York, New York, New York 10031 (United States)

- Publication Date:

- OSTI Identifier:
- 389296

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, B: Condensed Matter

- Additional Journal Information:
- Journal Volume: 54; Journal Issue: 15; Other Information: PBD: Oct 1996

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; HUBBARD MODEL; BOSON EXPANSION; SIGMA MODEL; COLLECTIVE EXCITATIONS; SPIN WAVES; ACTION INTEGRAL; QUANTIZATION; CHARGE DENSITY; SPIN; TWO-DIMENSIONAL CALCULATIONS; TEMPERATURE DEPENDENCE

### Citation Formats

```
Schmeltzer, D.
```*Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model*. United States: N. p., 1996.
Web. doi:10.1103/PhysRevB.54.10269.

```
Schmeltzer, D.
```*Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model*. United States. doi:10.1103/PhysRevB.54.10269.

```
Schmeltzer, D. Tue .
"Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model". United States. doi:10.1103/PhysRevB.54.10269.
```

```
@article{osti_389296,
```

title = {Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model},

author = {Schmeltzer, D.},

abstractNote = {A geometrical non-Abelian bosonization for the Fermi surface excitations is constructed. We introduce a unitary operator which generates the deformation of the Fermi surface which obeys non-Abelian Kac-Moody-Poisson brackets. We study the Hubbard model for {ital d}{ge}1, the charge part is a Fermi liquid at finite temperature and a Luttinger liquid for {ital d}=1 at {ital T}=0. The spin part is described by an 0(3) nonlinear sigma model. {copyright} {ital 1996 The American Physical Society.}},

doi = {10.1103/PhysRevB.54.10269},

journal = {Physical Review, B: Condensed Matter},

number = 15,

volume = 54,

place = {United States},

year = {1996},

month = {10}

}

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