# 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} }

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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