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arxiv: 1109.1384 · v1 · submitted 2011-09-07 · ✦ hep-th

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Field operators in topological quantum theories

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classification ✦ hep-th
keywords fieldapproachchern-simonsgaugeoperatorsperturbativequantumtheories
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The perturbative approach to the topological quantum field theories of the Chern-Simons type formulated in R^3 is considered. By means of the canonical quantization of the euclidean Chern-Simons lagrangian in the Landau gauge, a Fock space representation of the free field operators is produced. The perturbative equivalence of the path-integral formalism and the field operator approach is exhibited. The expression of the one-loop effective action in background gauge is derived.

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