ABSTRACT
This chapter presents a new nonstandard description of Euclidean quantum field theory as well as some of its applications. In order to understand, at least at some intuitive level, the meaning of the heuristic expressions defining Euclidean quantum field measures from the physical point of view, the chapter presents a simple and familiar case of Wiener measure. The chapter gives an alternative nonstandard representation of the free lattice field, which can be used to obtain a flat integral realization of the free Euclidean field f. This is a more concrete realization than the one for Gaussian measures. The chapter presents a nonstandard formulation of the free lattice field in any dimension in terms of S-white noise. This provides a flat integral presentation of the free Euclidean field.
