# Current algebras and many-body physics

## Abstract

Several applications of current algebras in many body physics are examined. The first is the interacting Bose gas in three dimensions. Theories for phonons, vortices and rotons are all described within the current algebra formalism. Next the one dimensional electron gas is examined within the approximation of linear dispersion so that relativistic current algebra techniques may be used. The relation with Thirring strings and compactified boson models is examined, and points of enhanced symmetry in the compactified boson models are shown to lie on phase transition lines for the electron gas. Finally, mathematical aspects of the current algebra are studied. The theory of induced representations of the diffeomorphism group are used to describe the Aharanov-Bohm effect, the thermodynamics of the Bose gas, and the Bose gas in the presence of vortex filaments.

- Authors:

- Publication Date:

- Research Org.:
- California Univ., Berkeley, CA (USA)

- OSTI Identifier:
- 6049350

- Resource Type:
- Miscellaneous

- Resource Relation:
- Other Information: Thesis (Ph. D.)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; PHYSICS; ALGEBRA; BOSE-EINSTEIN GAS; ELECTRON GAS; MANY-BODY PROBLEM; MATHEMATICS; PARTICLE MODELS; PHONONS; RELATIVITY THEORY; ROTONS; STRING MODELS; THERMODYNAMICS; THIRRING MODEL; THREE-DIMENSIONAL CALCULATIONS; USES; VORTICES; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FLUIDS; GASES; GENERAL RELATIVITY THEORY; MATHEMATICAL MODELS; QUARK MODEL; QUASI PARTICLES; 657000* - Theoretical & Mathematical Physics

### Citation Formats

```
Albertin, U.K.
```*Current algebras and many-body physics*. United States: N. p., 1989.
Web.

```
Albertin, U.K.
```*Current algebras and many-body physics*. United States.

```
Albertin, U.K. Sun .
"Current algebras and many-body physics". United States.
```

```
@article{osti_6049350,
```

title = {Current algebras and many-body physics},

author = {Albertin, U.K.},

abstractNote = {Several applications of current algebras in many body physics are examined. The first is the interacting Bose gas in three dimensions. Theories for phonons, vortices and rotons are all described within the current algebra formalism. Next the one dimensional electron gas is examined within the approximation of linear dispersion so that relativistic current algebra techniques may be used. The relation with Thirring strings and compactified boson models is examined, and points of enhanced symmetry in the compactified boson models are shown to lie on phase transition lines for the electron gas. Finally, mathematical aspects of the current algebra are studied. The theory of induced representations of the diffeomorphism group are used to describe the Aharanov-Bohm effect, the thermodynamics of the Bose gas, and the Bose gas in the presence of vortex filaments.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1989},

month = {1}

}