Abstract
We canonically quantize theO(3) nonlinear sigma model in 1+1 spacetime with a topological term. TheO(3) current algebra is obtained and found to have an abelian extension similar to the 2+1 dimensional model with a Hopf term. The current algebra is independent of the parameter μ, which is the coefficient of the topological term. At μ=π we show the equivalence of this algebra withk→∞ limit of the algebra ofSU(2)⊗SU(2) invariant WZW model. Following the prescription of nonlinear quantum mechanics, we resolve the operator ordering ambiguities and obtain the quantum Hamiltonian.
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