Abstract
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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Communicated by K. Gawedzki
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Mickelsson, J. Vacuum expectation values of products of chiral currents in 3+1 dimensions. Commun.Math. Phys. 154, 403–420 (1993). https://doi.org/10.1007/BF02097003
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DOI: https://doi.org/10.1007/BF02097003