The perturbative approach to the topological quantum field theories of 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.
Field operators in topological quantum theories
GUADAGNINI, ENORE
2011-01-01
Abstract
The perturbative approach to the topological quantum field theories of 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.File in questo prodotto:
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