A topological interpretation of stochastic quantization
Abstract
We analyze stochastic quantization in the framework of topological field theory. We consider an action which is a pure derivative in stochastic time. The fields needed to gauge fix this topological action are provided by the noise of the Langevin equation and the fermions arising from the exponentiation of a determinant. Interaction terms can be introduced by conjugation of the free BRST operator by a Morse function. The known supersymmetric action for stochastic quantization is then recovered. The formalism that we develop has applications in Yang-Mills theory.
- Publication:
-
Physics Letters B
- Pub Date:
- September 1988
- DOI:
- Bibcode:
- 1988PhLB..212..351B