Communications in Mathematical Physics

, Volume 127, Issue 2, pp 285–294 | Cite as

Commutator anomalies and the Fock bundle

  • Jouko Mickelsson


We show that the anomalous finite gauge transformations can be realized as linear operators acting on sections of the bundle of fermionic Fock spaces parametrized by vector potentials, and more generally, by splittings of the fermionic one-particle space into a pair of complementary subspaces. On the Lie algebra level we show that the construction leads to the standard formula for the relevant commutator anomalies.


Neural Network Statistical Physic Complex System Linear Operator Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Jouko Mickelsson
    • 1
  1. 1.Department of MathematicsUniversity JyväskyläJyväskyläFinland

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