Dimensional reduction and symplectic reduction

S. Shnider, S. Sternberg

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The method of dimensional reduction as applied to pure Yang-Mills theory by Manton and Harnad et al. can be related to the symplectic-reduction scheme developed by Marsden and Weinstein when applied to the phase space for a «classical» particle moving in the presence of a Yang-Mills field. If the data satisfy the appropriate conditions, one can use a technique similar to the collective motion to integrate the equations of motion of the particle.

Original languageEnglish
Pages (from-to)130-138
Number of pages9
JournalNuovo Cimento della Societa Italiana di Fisica B
Issue number1
StatePublished - Jan 1983
Externally publishedYes


  • Geometry
  • differential geometry and topology


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