Canonical Quantization and Topological Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 8 pages, talk given at QG99, Third Meeting on Constrained Dynamics and Quantum Gravity, Villasimius (Sardinia, Italy) S

Scientific paper

10.1016/S0920-5632(00)00806-9

The canonical quantization of the topological particle is described; it is shown that BRST quantization of the model gives the supersymmetric quantum mechanical model considered by Witten when investigating Morse theory, and the rigorous path integral method appropriate for this model is discussed. Possibilities for the extension of this work to two dimensional models are briefly considered.

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