Published October 5, 1992
| Version v1
Journal article
Unconstrained SU(2) and SU(3) Yang-Mills clasical mechanics
Description
A systematic study of constraints in SU(2) and SU(3) Yang-Mills classical mechanics is performed. Expect for the SU(2) case with vanishing spatial angular momenta they turn out to be non-holonomic. Using Dirac's constraint formalism we achieve a complete elimination of the unphysical gauge and rotational degrees of freedom. This leads to an effective unconstrained formulation both for the full SU(2) Yang-Mills classical mechanics and for the SU(3) case in the subspace of vanishing spatial angular momenta. We believe that our results are well suited for further explicit dynamical investigations. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 384
- Journal Issue
- 1/2
- Journal Page Range
- p. 352-380.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 24030977
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANGULAR MOMENTUM; CLASSICAL MECHANICS; COMMUTATION RELATIONS; DEGREES OF FREEDOM; EQUATIONS OF MOTION; FIELD OPERATORS; HAMILTONIAN FUNCTION; HAMILTONIANS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; PHASE SPACE; QUANTUM CHROMODYNAMICS; SO-3 GROUPS; SU-2 GROUPS; SU-3 GROUPS; UNIFIED GAUGE MODELS; YANG-MILLS THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SO GROUPS; SPACE; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Notes
- Also published as report DESY--92-006, Jan 1992, 31 p.