Communications in Mathematical Physics

, Volume 154, Issue 2, pp 403–420 | Cite as

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

  • Jouko Mickelsson
Article
Received:

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Jouko Mickelsson
    • 1
  1. 1.Center for Theoretical PhysicsM.I.T.CambridgeUSA

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