Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics

A systematic study of constraints in SU(2) and SU(3) Yang-Mills classical mechanics is performed. Except 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...

Full description

Saved in:
Bibliographic Details
Published inNuclear physics. B Vol. 384; no. 1; pp. 352 - 380
Main Authors Dahmen, Bernd, Raabe, Bernd
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 05.10.1992
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Classical field theories
Exact sciences and technology
Physics
Constraint
Yang Mills theory
Field theory
Classical theory
Phase space
Hamiltonian
SU group
Online AccessGet full text

Cover

More Information
Summary:A systematic study of constraints in SU(2) and SU(3) Yang-Mills classical mechanics is performed. Except 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.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(92)90471-M