Embedding Yang-Mills theory into universal Yang-Mills theory

Sep, 1990
16 pages
Published in:
  • Phys.Rev.D 44 (1991) 1836-1841
Report number:
  • UR-1186,
  • ER-13065-642

Citations per year

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Abstract: (APS)
We describe a generalization of Yang-Mills theory based on Connes's notion of a cycle in noncommutative geometry. An exactly soluble example is universal Yang-Mills theory. We describe how the configuration space of usual Yang-Mills theory can be embedded into that of universal Yang-Mills theory. It is shown that the energy of Yang-Mills theory can be approximated by that of universal Yang-Mills theory in a systematic expansion.
  • gauge field theory: Yang-Mills
  • energy
  • differential geometry: nonabelian
  • fermion
  • operator: Dirac