The Global Phase Space Structure of the Wess-Zumino-Witten Model

Details The Global Phase Space Structure of the Wess-Zumino-Witten Model The Global Phase Space Structure of the Wess-Zumino-Witten Model

1992-07-20

arxiv.org/abs/hep-th/9207066v1

Phys.Lett.B295:44-50,1992

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/0370-2693(92)90087-K

We present a new parametrisation of the space of solutions of the Wess-Zumino-Witten model on a cylinder, with target space a compact, connected Lie group G. Using the covariant canonical approach the phase space of the theory is shown to be the co-tangent bundle of the loop group of the Lie group G, in agreement with the result from the Hamiltonian approach. The Poisson brackets in this phase space are derived. Other formulations in the literature are shown to be obtained by locally-valid gauge-fixings in this phase space.

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