Topological field theory of dynamical systems. II
Abstract
This paper is a continuation of the study [Chaos.22.033134] of the relation between the stochastic dynamical systems (DS) and the Witten-type topological field theories (TFT). Here, it is discussed that the stochastic expectation values of a DS must be complemented on the TFT side by (−1)F̂, where F̂ is the ghost number operator. The role of this inclusion is to unfold the natural path-integral representation of the TFT, i.e., the Witten index that equals up to a topological constant to the partition function of the stochastic noise, into the physical partition function of TFT/DS. It is also shown that on the DS side, the TFT's wavefunctions are the conditional probability densities.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 15, 2013
- Source ID
- 10.1063/1.4775755
Entities
People
- Igor V. Ovchinnikov
Organizations
- Defense Advanced Research Projects Agency
- University of California, Los Angeles