Published August 10, 2007
| Version v1
Journal article
The Grassmannian sigma model in SU(2) Yang-Mills theory
Creators
- 1. Department of Theoretical Physics, Uppsala University, SE-751 08 Uppsala (Sweden)
Description
Spin-charge separation in pure SU(2) Yang-Mills theory was recently found to involve the dynamics of an O(3) nonlinear sigma model and, seemingly, a Grassmannian nonlinear sigma model. In this paper we explicitly construct the Grassmannian sigma model of the form appearing in the spin-charge separated SU(2) theory through a quaternionic decomposition of the manifold, thus verifying its relevance in this context. The coupling between this model and the O(3) nonlinear sigma model is further commented upon
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/32/015;
- PII
- S1751-8113(07)50261-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 32
- Journal Page Range
- p. 9919-9928
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39012829
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- NONLINEAR PROBLEMS; O GROUPS; SIGMA MODEL; SPIN; SU-2 GROUPS; YANG-MILLS THEORY
- Descriptors DEC
- ANGULAR MOMENTUM; BOSON-EXCHANGE MODELS; DYNAMICAL GROUPS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; PERIPHERAL MODELS; SU GROUPS; SYMMETRY GROUPS