The Nonlinear σ Model

  • Jouko Mickelsson
Part of the Plenum Monographs in Nonlinear Physics book series (PMNP)


The nonlinear (principal) σ model has been for a long time a theoretical laboratory to test different approaches for quantizing classical field theories. Here we shall discuss as an application of the current algebra representation theory a construction of the quantized σ model.


Line Bundle Symplectic Manifold Symplectic Structure Left Action Classical Field Theory 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Jouko Mickelsson
    • 1
  1. 1.University of JyväskyläJyväskyläFinland

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