
pmid: 10012449
Summary: The canonical quantization of the topological field theory model \(\int_M F\wedge B\), proposed by Horowitz, is examined through the Becchi-Rouet-Stora-Tyutin approach. With this approach we have a manifestly covariant description of a certain class of topological quantum field theories. However, if \(M\) in the present model is any orientable four-dimensional manifold, one would end up with different theories when different polarizations are chosen. Therefore a restriction \(M= \mathbf R^1\times\Sigma\), as pointed out by Horowitz, is required for consistency.
Relations of dynamical systems with symplectic geometry and topology, Quantization in field theory; cohomological methods, Applications of manifolds of mappings to the sciences, Geometry and quantization, symplectic methods
Relations of dynamical systems with symplectic geometry and topology, Quantization in field theory; cohomological methods, Applications of manifolds of mappings to the sciences, Geometry and quantization, symplectic methods
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