Published May 21, 1984
| Version v1
Journal article
Further properties of classical solutions in grassmannian sigma models
Creators
- 1. Lausanne Univ. (Switzerland). Inst. de Physique Theorique
- 2. European Organization for Nuclear Research, Geneva (Switzerland)
Description
We calculate the action and the topological charge of classical solutions in two-dimensional euclidean grassmannian sigma models (for both generic and special solutions). We show that all the above non-instanton or non-anti-instanton solutions are unstable. We also find solutions of the Dirac equation describing fermions in the background of these grassmannian fields, and we exhibit relations between these fermionic solutions and those of the associated Hilbert-Riemann problem. (orig.)
Additional details
Publishing Information
- Journal Title
- Nucl. Phys., B
- Journal Volume
- 237
- Journal Issue
- 3
- Series
- CODEN: NUPBB.;Nucl. Phys., B.
- Journal Page Range
- 461-476
- ISSN
- 0550-3213
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 15050550
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; DIRAC EQUATION; FERMIONS; FIELD EQUATIONS; INSTANTONS; SIGMA MODEL; SPINOR FIELDS
- Descriptors DEC
- BOSON-EXCHANGE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; PERIPHERAL MODELS; QUASI PARTICLES; WAVE EQUATIONS