FROM STOCHASTIC DIFFERENTIAL EQUATION TO QUANTUM FIELD THEORY

Covariant stochastic partial (pseudo)-differential equations are studied in arbitrary dimension. In particular, a large class of covariant interacting local quantum fields obeying the Morchio-Strocchi system of axioms for indefinite quantum field theory is constructed by solving the analysed equations. The associated random cosurface models are discussed and some of their elementary properties are outlined.