# Phase transition in the three-dimensional chiral field

## Abstract

The essentially nonlinear chiral field in three dimensional space time non-renormalizable in the usual perturbation expansion is studied. We consider systematic 1/N expansion for this model. In the framework of the latter a phase transition takes place: above the critical point the theory is in the O(N) symmetric phase, below it the O(N) symmetry breaks. The 1/N renormalizability of the conventional perturbation theory and the non-analytic dependence on the coupling constant is established.

- Authors:

- Publication Date:

- Research Org.:
- Leningrad Department of Steklov Mathematical Institute of Academy of Sciences of USSR, Leningrad, USSR

- OSTI Identifier:
- 6126492

- Resource Type:
- Journal Article

- Journal Name:
- Ann. Phys. (N.Y.); (United States)

- Additional Journal Information:
- Journal Volume: 117:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; SYMMETRY BREAKING; QUANTUM FIELD THEORY; PHASE TRANSFORMATIONS; COUPLING CONSTANTS; NONLINEAR PROBLEMS; O GROUPS; PERTURBATION THEORY; RENORMALIZATION; SERIES EXPANSION; THREE-DIMENSIONAL CALCULATIONS; DYNAMICAL GROUPS; FIELD THEORIES; LIE GROUPS; SYMMETRY; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory

### Citation Formats

```
Aref'eva, I.Y.
```*Phase transition in the three-dimensional chiral field*. United States: N. p., 1979.
Web. doi:10.1016/0003-4916(79)90361-0.

```
Aref'eva, I.Y.
```*Phase transition in the three-dimensional chiral field*. United States. doi:10.1016/0003-4916(79)90361-0.

```
Aref'eva, I.Y. Thu .
"Phase transition in the three-dimensional chiral field". United States. doi:10.1016/0003-4916(79)90361-0.
```

```
@article{osti_6126492,
```

title = {Phase transition in the three-dimensional chiral field},

author = {Aref'eva, I.Y.},

abstractNote = {The essentially nonlinear chiral field in three dimensional space time non-renormalizable in the usual perturbation expansion is studied. We consider systematic 1/N expansion for this model. In the framework of the latter a phase transition takes place: above the critical point the theory is in the O(N) symmetric phase, below it the O(N) symmetry breaks. The 1/N renormalizability of the conventional perturbation theory and the non-analytic dependence on the coupling constant is established.},

doi = {10.1016/0003-4916(79)90361-0},

journal = {Ann. Phys. (N.Y.); (United States)},

number = ,

volume = 117:2,

place = {United States},

year = {1979},

month = {2}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.