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DUAL SYMMETRY OF CHIRAL MODEL AND GEOMETRICAL CORRESPONDENCE BETWEEN CHIRAL FIELD AND SINE-GORDON EQUATION
- Source :
- Acta Physica Sinica. 33:294
- Publication Year :
- 1984
- Publisher :
- Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences, 1984.
-
Abstract
- In this paper, we show that the SO(3) chiral field can be regard as the normal Vector field over the pseudo-spherical surface, and thus obtain the correspondence between chiral field and sine-Gordon system, as well as the geometrical interpretation of chiral field. By means of the dual symmetry between chiral field and the pseudo-spherical surface, we are able to connect chiral field with s-G system, and express Backlund transformation, Riccati equation in the gauge invariant representations of the related properties of the same dynamical system in different frames.
- Subjects :
- Chiral anomaly
Chiral perturbation theory
Field (physics)
High Energy Physics::Lattice
High Energy Physics::Phenomenology
General Physics and Astronomy
sine-Gordon equation
Symmetry (physics)
Chiral model
Quantum electrodynamics
Riccati equation
Chiral symmetry breaking
Mathematics
Mathematical physics
Subjects
Details
- ISSN :
- 10003290
- Volume :
- 33
- Database :
- OpenAIRE
- Journal :
- Acta Physica Sinica
- Accession number :
- edsair.doi...........af1b3df92ceba3921ac236e2caea733e