Vacuum expectation values of products of chiral currents in 3+1 dimensions

@article{Mickelsson1993VacuumEV,
  title={Vacuum expectation values of products of chiral currents in 3+1 dimensions},
  author={Jouko Mickelsson},
  journal={Communications in Mathematical Physics},
  year={1993},
  volume={154},
  pages={403-420}
}
  • J. Mickelsson
  • Published 1 June 1992
  • Mathematics, Physics
  • Communications in Mathematical Physics
An algebraic rule is presented for computing expectation values of products of local nonabelian charge operators for fermions coupled to an external vector potential in 3+1 space-time dimensions. The vacuum expectation value of a product of four operators is closely related to a cyclic cocycle in noncommutative geometry of Alain Connes. The relevant representation of the current is constructed using Kirillov's method of coadjoint orbits. 
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