Horizontal lift of an infinite dimensional diffusion
The paper deals with stochastic differential equations on infinite dimensional Banach manifolds. For some sort of such manifolds and certain diffusion processes the authors prove the existence of horizontal lift to a line bundle with connection. Three classes of finite dimensional manifolds are described such that their loop manifolds admit the above-mentioned construction of horizontal lift. Applications to Quantum Field Theory are indicated.
stochastic (Stratonovich) differential equation
scientific article; zbMATH DE number 1455891