Equivariant symplectic geometry of gauge fixing in Yang–Mills theory

  title={Equivariant symplectic geometry of gauge fixing in Yang–Mills theory},
  author={Levent Akant},
  journal={Journal of Mathematical Physics},
  • L. Akant
  • Published 13 March 2007
  • Mathematics, Physics
  • Journal of Mathematical Physics
The Faddeev–Popov gauge fixing in Yang–Mills theory is interpreted as equivariant localization. It is shown that the Faddeev–Popov procedure amounts to a construction of a symplectic manifold with a Hamiltonian group action. The BRST cohomology is shown to be equivalent to the equivariant cohomology based on this symplectic manifold with Hamiltonian group action. The ghost operator is interpreted as a (pre)symplectic form and the gauge condition as the moment map corresponding to the… 



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