Abstract
Quantum field theory is a cornerstone of our tentative of interpreting the data obtained by our senses and instruments—the extensions of our senses—that constitute what we call real world. Quantum field theory is a tentative to go into some of the inmost folds of these perceptions, a look at scales so small and so far from the daily intuition that we can visualize them in our mind just by constructing a sort of toy models for helping our imagination. In 1900 Max Planck declared a basic assumption: “The action in our world is quantized”. The statement has been the seed generating the first chapters of quantum mechanics. The new staminate plant has produced the manifold branching of quantum field theory. Various aspects of physics and disparate subfields of mathematics meet in and contribute to it. Manifold are the results, more and more intricate the techniques: the principal flow of the river branches off, and the sub-rivers have also estuaries. Chapters still wait a rigorous mathematical description. A program with the aim of describing the whole scenario has been planned by Eberhard Zeidler with the encyclopedic psychological attitude that has characterized in the past the writing of his clear treatises on functional analysis and its applications. Zeidler imagined six volumes: I—Basic in Mathematics and
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