# Two-dimensional thermofield bosonization

## Abstract

The main objective of this paper was to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real-time formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The well-known two-dimensional Fermion-Boson correspondences at zero temperature are shown to hold also at finite temperature. To emphasize the usefulness of the operator realization for handling a large class of two-dimensional quantum field-theoretic problems, we contrast this global approach with the cumbersome calculation of the fermion-current two-point function in the imaginary-time formalism and real-time formalisms. The calculations also illustrate the very different ways in which the transmutation from Fermi-Dirac to Bose-Einstein statistics is realized.

- Authors:

- Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210-340 Rio de Janeiro (Brazil). E-mail: rubens@if.uff.br
- Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210-340 Rio de Janeiro (Brazil)
- Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)

- Publication Date:

- OSTI Identifier:
- 20766972

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics (New York); Journal Volume: 320; Journal Issue: 2; Other Information: DOI: 10.1016/j.aop.2005.07.003; PII: S0003-4916(05)00132-6; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN STATISTICS; BOSON EXPANSION; FERMIONS; TRANSMUTATION; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Amaral, R.L.P.G., Belvedere, L.V., and Rothe, K.D.
```*Two-dimensional thermofield bosonization*. United States: N. p., 2005.
Web. doi:10.1016/j.aop.2005.07.003.

```
Amaral, R.L.P.G., Belvedere, L.V., & Rothe, K.D.
```*Two-dimensional thermofield bosonization*. United States. doi:10.1016/j.aop.2005.07.003.

```
Amaral, R.L.P.G., Belvedere, L.V., and Rothe, K.D. Thu .
"Two-dimensional thermofield bosonization". United States.
doi:10.1016/j.aop.2005.07.003.
```

```
@article{osti_20766972,
```

title = {Two-dimensional thermofield bosonization},

author = {Amaral, R.L.P.G. and Belvedere, L.V. and Rothe, K.D.},

abstractNote = {The main objective of this paper was to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real-time formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The well-known two-dimensional Fermion-Boson correspondences at zero temperature are shown to hold also at finite temperature. To emphasize the usefulness of the operator realization for handling a large class of two-dimensional quantum field-theoretic problems, we contrast this global approach with the cumbersome calculation of the fermion-current two-point function in the imaginary-time formalism and real-time formalisms. The calculations also illustrate the very different ways in which the transmutation from Fermi-Dirac to Bose-Einstein statistics is realized.},

doi = {10.1016/j.aop.2005.07.003},

journal = {Annals of Physics (New York)},

number = 2,

volume = 320,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}