The Physical Projector and Topological Quantum Field Theories: U(1) Chern-Simons Theory in 2+1 Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, no figures, plain LaTeX file; one more reference added. Final version to appear in Jour. Phys. A

Scientific paper

10.1088/0305-4470/33/5/315

The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest examples of a topological quantum field theory. The physical projector is explicitely demonstrated to be capable of effecting the required projection from the initially infinite number of degrees of freedom to the finite set of gauge invariant physical states whose properties are determined by the topology of the underlying manifold.

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