Vacuum Expectation Values of Products of Chiral Currents in $3+1$ Dimensions

Details Vacuum Expectation Values of Products of Chiral Currents in $3+1$ Dimensions Vacuum Expectation Values of Products of Chiral Currents in $3+1$ Dimensions

1992-06-01

arxiv.org/abs/hep-th/9206005v1

Commun.Math.Phys. 154 (1993) 403-420

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1007/BF02097003

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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