Phys. Rev. D 41, 1172–1176 (1990)BRST quantization of topological field theoryReceived 7 August 1989; published in the issue dated 15 February 1990 The canonical quantization of the topological field-theory model ∫MF∧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=R1×Σ, as pointed out by Horowitz, is required for consistency. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.1172
DOI:
10.1103/PhysRevD.41.1172
PACS:
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