Functional integrals for quantum theory

L. Streit

BiBoS, Universität Bielefeld
D-33615 Bielefeld, Germany

Abstract:

1. The physicist's fucntional integrals: the Feynman integral, the use  of functional integrals in canonical and Euclidean quantum field  theory.
2. Mathematical tools. Infinite dimensional calculus: a short  introduction to White Noise Analysis.
3. Rigorous results: the vacuum densities of Euclidean and  Minkowski field theories. Feynman integrals for singular interactions.